Farmany department of chemistry, islamic azad university of ilam, ilam, iran received on 10 may, 2009 based on the generalized uncertainty principle gup, in which the quantum gravitational effects are taken. History in the 18th century john michell and pierresimon laplace first mentioned about the objects with a. The wave equation on the extreme reissnernordstrom black. Hawking temperature of the reissnernordstromvaidya black hole. A black hole is an incredibly dense remnant of a star that has collapsed into a singularity under its own gravity upon running out of fuel. Phantom reissner nordstrom ads black hole rn ads black hole is a solution of einstein field equations in the presence of cosmological constant. As a result, a black hole radiates like a blackbody with an effective temperature of t 10 6 m. In the tunneling framework of hawking radiation, charged particles tunneling in the modified reissner nordstrom black hole from gravitys rainbow is investigated. Semiclassical black holes and black hole thermodynamics. Using the example of a retail clothing store in a mall, list relevant data flows, data stores, processes, and sourcessinks. Nowadays, new black holes are detected on a daily basis. Remarkably, we find that the higherdimensional rn black holes coupled. 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. Physically, it is the outer boundary of the black hole on which null rays can just skim along, neither being captured by the black hole, nor propagating to null in nity.
The schwarzschild black hole is the simplest black hole solution. The geometry was discovered independently by reissner 1916 1 and nordstrom 1918 2. The masses of black holes vary widely and can reach a million solar masses. Wald, linear stability of schwarzschild under perturbations which are nonvanishing on the bifurcation two sphere, class.
Nonexistence of timeperiodic solutions of the dirac equation in a reissnernordstrom black hole background article pdf available in journal of mathematical physics 414 april 2000 with 32. A classical instability of reissnernordstrom solutions. The overflow blog a message to our employees, community, and customers on covid19. The field of spin 1 may be the usual maxwell one, or with a contribution of negative energy. The goal of this thesis is to study charged black holes in the presence of charged matter. Nobomb theorem for charged reissnernordstrom black holes. The fastest relaxation rate of higherdimensional reissnernordstr. A remark about wave equations on the extreme reissner. By using the gedanken experiments suggested by bekenstein and rosenzweig, we have shown that nonextremal reissner nordstrom black hole cannot turn into extremal one by assimilating infalling charged particle and charged spherical shell. Black holes have extremely strong gravitational fields, similar to cosmic string fragments, so powerful that not even light can escape. Spontaneous loss of charge of the reissnernordstrom black.
Hawking temperature of the reissnernordstromvaidya. Journey into and through a reissnernordstrom black hole. A quantum mechanical model of the reissnernordstrom black. It is about learning to think differently, be it on basis.
A reissnernordstrom black hole is a black hole with mass and electric charge, but no spin. 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. It is a place in space which has such a big gravitational field, that nothing, not even light can escape. Hawking temperature of the reissnernordstromvaidya black. Fate of a reissnernordstrom black hole in the einstein. Working in the context of spontaneously broken gauge theories, we show that the magnetically charged reissner nordstrom solution develops a classical instability if the horizon is sufficiently small. General properties of such a black hole are described in the article charged black hole. Horizon instability of an extreme reissnernordstrom black hole. 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. Charged particles tunneling in a modified reissner. New stable black hole solutions then exist with greater entropy for fixed mass and charge than the reissnernordstrom solution. In physics and astronomy, the reissnernordstrom metric is a static solution to the. Scientists cant directly observe black holes, and the only way to perceive them is. Request pdf fate of a reissnernordstrom black hole in the einsteinyangmillshiggs system we study an evaporating process of black holes in the so3 einsteinyangmillshiggs system.
Black holes not only does god definitely play dice, but he sometimes confuses us by throwing them where they cant be seen. The most astrophysically realistic case is that of a rotating, neutral black hole. We also have generalized the former one considering an interior constituted by an anisotropic dark energy fluid 16,19. In this research we considered the hawking temperature of a reissner nordstrom vaidya black hole, i. Rather than a black hole from which light cannot escape, he considered a dumb hole from which sound cannot escape. What happens at the horizon of an extreme black hole. Dehghani department of physics, ilam university, ilam, iran a. In the case of extremal reissner nordstrom black hole solution we find that there is a parameter depending on the black hole mass and the width of the domain wall which constitutes the upper limit for the expulsion to occur. To this end, following the schwarzschild solution in gravitys rainbow, the metric of the modified reissner nordstrom black hole is given. In particular, the reader should be conversant with manifold theory, tangent vectors, tensors, nforms, metrics and connections, the theory of geodesics, curvature, killing vectors and. This instability has significant implications for the evolution of a magnetically charged black hole. We study the longlived modes of the charge density and energy density correlators in the stronglycoupled, finite density field theory dual to the ads4 reissner nordstrom black hole. Reissner nordstrom black hole causes this to be a conformal.
This manuscript focuses on the entropy of reissner nordstrom 3d black hole in roegenian economics, which is an interesting topic. The presentation highlights the similarities in all these calculations. To do so, we investigate the behaviour of spherically symmetric solutions of the einsteinmaxwellkleingordon equations, which model the interaction of a charged scalar field with the electromagnetic field originating from the black hole charge. This manuscript is more like a report other than a paper, so the formulation and structure organization need to be improved. Price, excitation of quasinormal ringing of a schwarzschild black hole, phys. Bosonic excitations of the ads4 reissnernordstrom black hole. Nonexistence of timeperiodic solutions of the dirac equation in a reissner nordstrom black hole background article pdf available in journal of mathematical physics 414 april 2000 with 32. The only meaning of theory is to demonstrate possibility. Hawking l doesgodayl rebecca moore black holes phys 3305 modern physics november 28, 2017. The energy of the radiation is drawn from the energy of the black hole s gravitational field. Can nonextremal reissnernordstrom black hole become. It is now known that there is a supermassive black hole at the centre of our galaxy. Despite having tonnes of experimental evidence for the existence of black holes, there is still a lot about it that is unknown. Draw a context diagram and a level0 diagram that represent the selling system at.
Spontaneous loss of charge of the reissner nordstrom black hole. A black hole is a great amount of matter packed in a very small area. Schwarzschild black hole being thermodynamically unstable, corrections to its entropy. This solution arises due to coupling of a field of spin 1 with gravitational field. Gup and higher dimensional reissner nordstrom black hole radiation. In particular, it leads to the possibility that such a hole could evaporate completely. Andreas vigand pedersenaspects of black hole physics 3 chapters 14, 810, 1214 and lee00, chapters 17. In this research paper, we have used the formula for gravitational force acting between the black hole and light particle passing near the radius of event horizon of black holes mahto. Gup and higher dimensional reissnernordstrom black hole. Evolution of shocks in the interior of kerr black holes. The study of black holes reveals many surprising and beautiful properties, and has profound consequences for quantum theory. Overview the schwarzschild black hole is the simplest black hole solution. In this fourdimensional phase space, we perform a canonical transformation such that the resulting configuration variables describe the dynamical properties of reissnernordstr\om black holes in.
Problems and exercises solutions azsmarttech services. The late20th century nasa probe voyager 6 disappeared into a spatial anomaly that at the time was believed to be a. Schwarzschild and reissner nordstrom black holes, near horizon geometry. Black holes l24 harvey reall a black hole is a region of spacetime that is causally disconnected from the rest of the universe. The quantization of the black hole horizon area is one of the most interesting manifesta tions of quantum gravity. Hawking radiation from black holes also points to a profound connection between black hole. What links here related changes upload file special pages permanent link page. Area spectrum of extremal reissnernordstrom black holes from. 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. Thermodynamics of phase transition in higherdimensional.
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