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In this paper, we review the issue of defining energy for test particles on a background stationary spacetime. We revisit the different notions of energy as defined by different observers. As is well known, the existence of a time-like…

General Relativity and Quantum Cosmology · Physics 2015-09-08 Alejandro Corichi

We study perturbations induced by a light particle scattering off a Schwarzschild black hole. Exploiting recent results for the wave propagation in this geometry, we derive the fields that this process induces on the horizon to leading…

General Relativity and Quantum Cosmology · Physics 2026-02-06 Andrea Cipriani , Francesco Fucito , Carlo Heissenberg , Jose Francisco Morales , Rodolfo Russo

Stellar-mass black holes offer what is perhaps the best scenario to test theories of gravity in the strong-field regime. In particular, f(R) theories, which have been widely discuss in a cosmological context, can be constrained through…

Cosmology and Nongalactic Astrophysics · Physics 2012-12-13 Daniela Pérez , Gustavo E. Romero , Santiago E. Perez Bergliaffa

Finsler geometry is just riemannian geometry without the quadratic restriction[1]. In this paper, we study the motion of massive(non-zero rest mass) and massless particles for schwarzschild metric in finsler spacetime in the case of two…

General Relativity and Quantum Cosmology · Physics 2018-01-08 V. Sai sumith Reddy

We study the quantum vacuum zero point energy in the Schwarzschild black hole as well as in the Nariai limit of the dS-Schwarzschild backgrounds. We show that the regularized vacuum energy density near the black hole and also in the Nariai…

General Relativity and Quantum Cosmology · Physics 2022-12-21 Hassan Firouzjahi

According to the Einstein hole argument, vacuum metric solutions are equivalent only if they correspond to the same energy--momentum tensor in the source region. In this paper it is shown that singular coordinates that are used to show…

General Relativity and Quantum Cosmology · Physics 2023-03-21 Merab Gogberashvili

We consider Matrix theory compactified on T^3 and show that it correctly describes the properties of Schwarzschild black holes in 7+1 dimensions, including the energy-entropy relation, the Hawking temperature and the physical size, up to…

High Energy Physics - Theory · Physics 2008-11-26 T. Banks , W. Fischler , I. R. Klebanov , L. Susskind

We deal with phantom energy accretion onto the Schwarzschild de-Sitter black hole. The energy flux conservation, relativistic Bernoulli equation and mass flux conservation equation are formulated to discuss the phantom accretion. We discuss…

General Relativity and Quantum Cosmology · Physics 2017-08-23 M. Sharif , G. Abbas

We review in a pedagogical fashion the 3+1-split which serves to put Einstein's equations into the form of a dynamical system with constraints. We then discuss the constraint equations under the simplifying assumption of time-symmetry.…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Domenico Giulini

The recent suggestion that the entropy of Schwarzschild black holes can be computed in matrix theory using near-extremal D-brane thermodynamics is examined. It is found that the regime in which this approach is valid actually describes…

High Energy Physics - Theory · Physics 2016-08-25 Gary T. Horowitz , Emil J. Martinec

Dirac equation is separable in curved space-time and its solution was found for both spherically and axially symmetric geometry. But most of the works were done without considering the charge of the black hole. Here we consider the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Banibrata Mukhopadhyay

The recently proposed effective equation of motion for the $4D$- Einstein-Gauss-Bonnet gravity admits a static black hole solution that has, like the Rissner-Nordstr\"{o}m charged black hole, two horizons instead of one for the…

General Relativity and Quantum Cosmology · Physics 2020-09-14 Naresh Dadhich

Recent developments in obtaining a detailed model for gamma ray bursts have shown the need for a deeper understanding of phenomena described by solutions of the Einstein-Maxwell equations, reviving interest in the behavior of charges close…

Astrophysics · Physics 2009-11-10 Remo Ruffini

Exploiting the five-dimensional Schwarzschild black hole, we study the geometrical natures of the higher dimensional black hole to yield the (6+1) dimensional global embedding Minkowski space structure. We next obtain the Hawking…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Soon-Tae Hong

In this paper, we study the existence of (quasi)bound states in two spacetime geometries describing Schwarzschild and Reissner-Nordstr\"om black holes. For obtaining this type of states we search for discrete quantum modes of the massive…

General Relativity and Quantum Cosmology · Physics 2020-02-27 Ciprian A. Sporea

Starting from the Einstein equations in Schwarzschild-de Sitter (SdS) spacetime and imposing Friedmann-Robertson-Walker coordinates at large distances, we find two coordinate systems with time-dependent metrics that are smooth across both…

General Relativity and Quantum Cosmology · Physics 2025-10-16 Leonardo de Lima , Davi C. Rodrigues

We extend the derivation of the Hawking temperature of a Schwarzschild black hole via the Heisenberg uncertainty principle to the de Sitter and anti-de Sitter spacetimes. The thermodynamics of the Schwarzschild-(anti-)de Sitter black holes…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Brett Bolen , Marco Cavaglia

Using M{\o}ller's energy complex, we obtain the energy distributions of GHS solution and dyonic dilaton black hole solution in the dilaton gravity theory. It is confirmed that the M{\o}ller's energy complex is indeed a 3-scalar under purely…

General Relativity and Quantum Cosmology · Physics 2011-08-22 I-Ching Yang , Wei-Fui Lin , Rue-Ron Hsu

We study the global structure of the exact two-dimensional space-time which emerges from string theory. Previous work has shown that in the semi-classical limit, this is a black hole similar to the Schwarzschild solution. However, we find…

High Energy Physics - Theory · Physics 2009-10-22 Malcolm J. Perry , Edward Teo

We quantize the Reissner-Nordstr\"om black hole using an adaptation of Kucha\v{r}'s canonical decomposition of the Kruskal extension of the Schwarzschild black hole. The Wheeler-DeWitt equation turns into a functional Schroedinger equation…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Cenalo Vaz , Louis Witten