Box 1735, beijing 80, china physics letters a received 1 june 1993. Physics stack exchange is a question and answer site for active researchers, academics and students of physics. We investigate the influence of the cosmological constant. A static spherically symmetric black hole usually turns out to be either a schwarzschild black hole or a reissnernordstr\om black hole. All the mass of the black hole is located within zero volume at the centerprovided its a nonrotating black hole, meaning. The wave equation on extreme reissnernordstrom black holes has recently been studied. Pdf an analytic extension of the reissnernordstrom solution at and beyond the singularity is presented. The geometry was discovered independently by reissner 1916 1 and nordstrom 1918 2. Gup and higher dimensional reissnernordstrom black hole. Weak field limit of reissnernordstrom black hole lensing core.
This is journey into and through a reissnernordstrom black hole by andrew hamilton on vimeo, the home for high quality videos and the people who. We obtain the basic equations and show that, as in the case of schwarzschild black hole, besides the primary and secondary images, two infinite sets of relativistic images are formed. In this fourdimensional phase space, we perform a canonical transformation such that the resulting configuration variables describe the dynamical properties of reissner nordstr\om black holes in. Introduction to general relativity, thooftlecturesgenrel. It is described by the electric field of a pointlike charged particle, and especially by the reissnernordstrom metric that generalizes the. Instability of reissnernordstrom black hole in einsteinmaxwell. Reissnernordstrom black hole in noncommutative spaces.
Black hole evaporation and positive mass theorems 1 introduction stephen hawking published his paper \particle creation by black holes 1 in 1975. We give a new derivation of the quasinormal frequencies of schwarzschild black holes in d greater than or equal to 4 and reissner nordstrom black holes in d 4, in the limit of infinite damping. The kerrnewman black hole, which has charge and rotates. Many people cannot read postscript files, and what happens when the user clicks on the link depends on a number of variable factors including how your server handles them.
The effects of the scalar field on the nonlinear eulerheisenberg, the magnetic bardeen and reissner nordstrom bhs are studied in order to obtain information about how the scalar field affects different bhs. The stressenergy appears to be regular on the event horizon, contrary to the suggestion provided by twodimensional calculations. The kerr black hole, which rotates and does not have charge inside. Stefanie reissner is a lecturer at newcastle university business school, uk. If you do not see its contents the file may be temporarily unavailable at the journal website or you do not have a pdf plugin installed and enabled in your browser. Weak field limit of reissnernordstrom black hole lensing. In physics and astronomy, the reissnernordstrom metric is a static solution to the. Yannis angelopoulos, stefanos aretakis, dejan gajic submitted on 17 oct 2019 abstract. Objects with a charge greater than their mass can exist in nature, but they can not collapse down to a black hole, and if they could, they would display a.
Pdf the metric for a reissnernordstrom black hole in the background of the friedmanrobertsonwalker universe is obtained. The authors show that a spacelike singularity forms to prevent an observers reaching the cauchy horizon and the properties of the singularity are discussed in detail. They found that if the mass of the perturbation is of an order of or greater than the mass of the initial reissner nordstrom black hole, the position of the singularity tends to. Hole in fr gravity morteza kerachian submitted to the institute of graduate studies and research in partial ful. Above we see a penrose diagram representing a coordinate extension 1 for a charged or rotating black hole. She conducted her doctoral research, a crosscultural study of organisational change and learning, at durham university and has received esrcfunding for her current research into storytelling in management practice. We study the longlived modes of the charge density and energy density correlators in the stronglycoupled, finite density field theory dual to the ads4 reissnernordstrom black hole. For schwarzschild in d greater than or equal to 4 we find that the asymptotic real part is t hawking log3 for scalar perturbations and for some gravitational perturbations. This means when the black hole horizon and the cosmological horizon are too far away small x or too close large x, rnds black hole cannot be thermodynamically stable. Diving into a charged reissnernordstrom black hole. Browse other questions tagged generalrelativity black holes wormholes white holes reissner nordstrom metric or ask your own question. The known charged rotating black hole solution is the kerrnewman metric. Geometry and thermodynamics of smeared reissnernordstrom. The reissner nordstrom black hole, which does not rotate, but which has electrical charge.
Black holes with 2r q r s can not exist in nature because if the charge is greater than the mass there can be no physical event horizon the term under the square root becomes negative. Charged particles tunneling in a modified reissner. Regular reissnernordstrom black hole solutions from linear electrodynamics. Hawking temperature of the reissnernordstromvaidya. Nonperturbative canonical gravity, lecture notes in collab oration with r. Since the electromagnetic repulsion in compressing an electrically charged mass is dramatically greater than the gravitational attraction by about 40 orders of magnitude, it is not expected that black holes with a significant electric charge will be formed in nature. The hawking temperature of a black hole is such that the wien wave length corresponds to the radius of the black hole itself. Moving the description to the right of an icon physics forums. Reissnernordstrom naked singularity, and also of the black hole inner static region, was. Behavior of nullgeodesics in the interior of reissner. Reissnernordstrom black hole plural reissnernordstrom black holes.
A remark about wave equations on the extreme reissner. Spontaneous loss of charge of the reissnernordstrom black hole. This result on stability can also be applied to the inflationary scenario. We obtain the basic equations for the deflection angle and time delay and find analytical expressions for the positions and amplifications of the primary and secondary images. Developing skills for business leadership kogan page. Explosion and final state of an unstable reissnernordstrom black. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks. Sarita chauhan seminar on black hole linkedin slideshare. On the electric meissner effect in the field of a reissnernordstrom black hole andrea geralico physics department and international center for relativistic astrophysics i. We investigate the behaviour of a noncommutative radiating reissner nordstrom reno black hole. Lau institute of theoretical physics, academia sinica, p. Reissnernordstrom black hole is a black hole that carries electric charge, no angular momentum, and mass.
Reissnernordstrom black hole lensing internet archive. Gravitational perturbation and quasinormal modes of. On the second order phase transition of a reissnernordstrom. Black holes l24 harvey reall a black hole is a region of spacetime that is causally disconnected from the rest of the universe. Thermodynamics of phase transition in higherdimensional. Our emphasis is to derive, in the presence of electrostatic source, the necessary conditions which provide such static, spherically symmetric sss black holes available in fr gravity by applying the near horizon test method. The study of black holes reveals many surprising and beautiful properties, and has profound consequences for quantum theory. A static spherically symmetric black hole usually turns out to be either a schwarzschild black hole or a reissner nordstr\om black hole.
Nordstrom, on the energy of gravitational field in einsteins theory, konikl. We obtain a new solution of the einsteinantimaxwell theory with cosmological constant, called anti reissner nordstrom ade sitter antirnads solution. In recent years, the reissnernordstrom rn black holes are frequently studied in the astrophysical context. Light bending in reissnernordstromde sitter black hole by.
Shadow of the regular bardeen black holes and comparison of the. The wave equation on the extreme reissnernordstrom black hole. All hamiltonian equations are expressed explicitly in suitable forms. Albrecht klemm 1 reissner nordstr om black hole 4 point in this problem you will derive the metric for a electrically charged black hole.
Horizons exist only if the black holes charge q is less than or equal to its mass m, in natural units. Extended schwarzchild and reissner nordstrom desitter spacetimes 7. We investigate the phase structure, thermodynamic geometry and critical behavior of a reissner nordstrom ads black hole and a reissner nordstrom black hole in a cavity, which can reach equilibrium in a canonical ensemble. Mid this article has been rated as midimportance on the.
Elsevier 7 march 1994 physics letters a 186 1994 4146 on the second order phase transition of a reissner nordstrom black hole y. We find analytical expressions for the positions and amplifications of the relativistic images. Real black holes probably spin, but probably have almost no electric charge, because our universe appears to be electrically neutral, and a charged black hole would quickly neutralize by attracting charge of the. Pdf analytic reissnernordstrom singularity researchgate. Download pdf 148 kb abstract in this paper, we study by a functional method the vacuum instability of a charged scalar field, when it is quantized in the background of the reissnernordtrom black hole.
The same way as mapping schwarzschild coordinates onto kruskalszekeres coordinate reveals two seperate external regions for the schwarzschild black hole, such a mapping done for a charged or rotating hole. Regular reissnernordstr\ om black hole solutions from linear. We also discuss the equation of state of the schwarzschild. The wave equation on the extreme reissnernordstrom black. We study gravitational lensing by a reissner nordstrom rn black hole in the weak field limit. We investigate the mass, temperature and heat capacity as functions of entropy for these black holes. The reissnernordstrom metric now we are left with only one unknown variable, r which is given in eq. Borninfeld electrodynamics has attracted considerable interest due to its relation to strings and dbranes. Dec 05, 2014 the reissner nordstrom black hole, which does not rotate, but which has electrical charge. Nederlandsche akademie van wetenschappen proceedings 202 1918 12381245. Stability of hot reissnernordstrom black hole springerlink. Black holes are so dense that they pull in stars and planets so much gravitational force that nothing can escape, not even light singularity is the middle point of a black hole the event horizon is the point of no return travel faster than speed of light to escape black hole.
In this paper we study the strong gravitational lensing scenario where the lens is a reissner nordstrom black hole. Bosonic excitations of the ads4 reissnernordstrom black hole. A reissnernordstrom black hole bh is superradiantly unstable against spherical perturbations of a charged scalar. Pdf the reissnernordstrom black hole with the fastest relaxation. This article is within the scope of wikiproject physics, a collaborative effort to improve the coverage of physics on wikipedia. The shwarzschild black hole, which has no charge, or rotation, the simplest type of black hole that exists. Start this article has been rated as startclass on the projects quality scale. Finally, for the electromagnetic eld strength tensor we obtain f 1 p 4. Real black holes probably spin, but probably have almost no electric charge, because our universe appears to be electrically neutral, and a charged black hole would. Thermodynamics of phantom reissnernordstromads black hole.
To this end, one equation is enough to determine the. Using this extension it is shown that the charged and nonrotating black hole singularities are compatible. The reissner nordstrom metric now we are left with only one unknown variable, r which is given in eq. This is somewhat similar to the schwarshild black hole, where you see that there are light rays that seem to come from the black hole, but since it is impossible to escape from it, the light rays must come from a new patch that correspond to the inside of the black hole, that is then called a white hole. The effective potentials for axial perturbations are derived and discussed. A nondegenerate scattering theory for the wave equation on extremal reissnernordstrom. White holes and wormholes white holes are not proved to exist. Nordstrom, on the energy of the gravitational field in. In this paper the gravitational perturbations of electrically charged black holes in einsteinborninfeld gravity are studied.
The thermodynamic geometry has been proved to be quite useful in understanding the microscopic structure of black holes. Thermodynamic geodesics of a reissner nordstrom black hole. Charged particles tunneling in a modified reissnernordstrom. The result provides a proof of the gravityuncoupled stability of reissner nordstrom black hole exterior against small charged perturbations, which should also be considered as the first step towards the construction of oneended charged black holes with a cauchy horizon. General properties of such a black hole are described in the article charged black hole. The total mass of the central body and its irreducible mass are related by.
To this end, following the schwarzschild solution in gravitys rainbow, the metric of the modified reissnernordstrom black hole is given. Equivalently, the space is not empty besides the black hole itself as there is a nontrivial electric field. It is known that subextremal black hole backgrounds do not admit a bijective nondegenerate scattering theory in the exterior region due to the fact. The black hole anatomy basically consists of two main components. We propose qualitative models of nonprimordial andor evaporating black holes. Both horizons can usually seem to be two independent thermodynamic systems.
In the tunneling framework of hawking radiation, charged particles tunneling in the modified reissnernordstrom black hole from gravitys rainbow is investigated. Despite vanishing of the cosmological constant in the second order null geodesic equation, considering the method introduced by rindler and ishak 2007, we obtain an expression for the deflection angle, consistent with previous results for schwarzschild. Download pdf general systems theory beginning with wholes. A charged black hole is a black hole that possesses electric charge. In this research we considered the hawking temperature of a reissner nordstrom vaidya black hole, i. Gq2 0 so there is a minimal mass mmin q2 g below this mass, we would have a naked.
Growth of black hole once a black hole has formed, it can continue to grow by absorbing additional matter. The analogous solution for a charged, rotating body is given by the kerrnewman metric the metric was discovered between 1916 and 1921 by hans reissner. Holographic dual of the reissnernordstrom black hole iopscience. On the electric meissner effect in the field of a reissner. Instead of a vanishing energy momentum tensor, you will now have. Journey into and through a reissnernordstrom black hole. There once was a very large lake here, the largest lake in texas. For small momenta q reissner nordstr\om black hole spacetime in the zero temperature vacuum state. General relativityreissnernordstrom black hole wikibooks. The critical phenomena and thermodynamics of the reissner. On the theories of the interacting perturbations of the. Journey into and through a reissnernordstrom black hole on vimeo. Entering a black hole reissner nordstrom you would still be broken apart by the tidal forces within the outer horizon the singularity would appear as a place in time within the inner horizon time and space change roles again and so the singularity appears as a place in space, which is avoidable.
Thermodynamics of the schwarzschild and the reissner. Instability of reissnernordstrom black hole in einsteinmaxwellscalar theory. The extreme case where the charge equals the mass is called an extremal black hole. Taking the extremal limit of a nonextremal reissner nordstr\om black hole by externally varying the mass or charge, the region between the inner and outer event horizons experiences an. Pdf reissnernordstrom metric in the friedmanrobertson. The critical phenomena and thermodynamics of the reissnernordstromde sitter black hole.
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