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In a recent preprint (astro-ph/9905144) Tereno has tried to find the physical 3-velocity (V) at the Event Horizon of a Kruskal Black Hole. This has been done in the backdrop of the recent work by Mitra (astro-ph/9904162) where it was shown…

Astrophysics · Physics 2007-05-23 Abhas Mitra

The total spacetime manifold for a Schwarzschild black hole (BH) is described by the Kruskal coordinates u=u(r,t) and v=v(r,t), where r and t are the conventional Schwarzschild radial and time coordinates respectively. The relationship…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Abhas Mitra

The question of the physical reality of the black hole interior is a recurrent one. An objection to its existence is the well known fact that the velocity of a material particle, refered to the stationary frame, tends to the velocity of…

Astrophysics · Physics 2007-05-23 Ismael Tereno

Schwarzschild coordinates (r,t) fail to describe the region within the event horizon (EH), (r <= 2 M), of a Black Hole (BH) because the metric coefficients exhibit singularity at r=2 M, and the radial geodesic of a particle appears to be…

Astrophysics · Physics 2007-05-23 Abhas Mitra

The Landau-Lifshitz decomposition of spacetime, or (1+3)-split, determines the three-dimensional velocity and acceleration as measured by static observers. We use these quantities to analyze the geodesic particles in Schwarzschild and Kerr…

General Relativity and Quantum Cosmology · Physics 2019-03-07 Walberto Guzmán-Ramírez , Alexei A. Deriglazov

Some dynamical aspects of gravitational collapse are explored in this paper. A time-dependent spherically symmetric metric is proposed and the corresponding Einstein field equations are derived. An ultrarelativistic dust-like…

General Relativity and Quantum Cosmology · Physics 2014-07-08 Miquel Pinol

To resolve some unphysical interpretations related to velocity measurements by static observers, we discuss the use of generalized observer sets, give a prescription for defining the speed of test particles relative to those observers and…

General Relativity and Quantum Cosmology · Physics 2015-06-25 P. Crawford , I. Tereno

Assuming that an accelerated observer with four-velocity ${\bf u}_{\rm R}$ in a curved spacetime attributes the standard Bekenstein-Hawking entropy and Unruh temperature to his "local Rindler horizon", we show that the $\rm \it change$ in…

General Relativity and Quantum Cosmology · Physics 2016-06-21 Dawood Kothawala

Doubly special relativity (DSR) is an effective model for encoding quantum gravity in flat spacetime. To incorporate DSR into general relativity, one could use "Gravity's rainbow", where the spacetime background felt by a test particle…

General Relativity and Quantum Cosmology · Physics 2016-10-14 Jun Tao , Peng Wang , Haitang Yang

We consider deformation of the d+2 dimensional asymptotically flat Schwarzschild black hole spacetime with the induced metric on a d-sphere at $r=r_c$ held fixed. This is done without taking the near horizon limit. The deformation is…

High Energy Physics - Theory · Physics 2011-09-13 Ryuichi Nakayama

We demonstrate that the implementation of the fractional and non-local Wheeler--DeWitt (WDW) equation within the context of Schwarzschild geometry leads to the emergence of a Schwarzschild--Tangherlini black hole (BH), which is uniquely…

General Relativity and Quantum Cosmology · Physics 2025-07-18 S. Jalalzadeh , H. Moradpour , G. R. Jafari , P. V. Moniz

It is well known that observers will be accelerated when they approach the planets. Thus, discussing the properties of accelerating observers in the Schwarzschild space is of sense. For the sake of simplicity, we can construct these…

General Relativity and Quantum Cosmology · Physics 2009-03-04 Yapeng Hu , Guihua Tian , Zheng Zhao

It is shown that a timelike radial geodesic does not become null at the event horizon

Astrophysics · Physics 2007-05-23 Ismael Tereno

It has been well known that in the point of view of a distant observer, all in-falling matter to a black hole (BH) will be eventually stalled and "frozen" just outside the event horizon of the BH, although an in-falling observer will see…

Astrophysics · Physics 2008-11-26 Shuang Nan Zhang , Yuan Liu

A modified version of the Schwarzschild geometry is proposed. The source of curvature comes from an anisotropic fluid with $p_{r} = -\rho$ and fluctuating tangential pressures. The event horizon has zero surface gravity but the invariant…

General Relativity and Quantum Cosmology · Physics 2013-10-10 Hristu Culetu

It was shown recently that, in the case of Schwarschild black hole, one can obtain the correct thermodynamic relations by studying a model quantum system and using a particular duality transformation. We study this approach further for the…

General Relativity and Quantum Cosmology · Physics 2009-03-19 Sudipta Sarkar , T. Padmanabhan

We study further a general relativistic mechanism for the acquisition of tidal energy by free test particles near a gravitationally collapsed configuration. Specifically, we investigate the solutions of timelike geodesic equation in a Fermi…

General Relativity and Quantum Cosmology · Physics 2021-04-01 Mahmood Roshan , Bahram Mashhoon

A physics-first derivation of the Schwarzschild metric is given. Gravitation is described in terms of the effects of tidal forces (or of spacetime curvature) on the volume of a small ball of test particles (a dust ball), freely falling…

General Relativity and Quantum Cosmology · Physics 2017-07-20 Klaus Kassner

We calculate the free-fall energy density of scalar fields semi-classically by employing the trace anomaly on a two-dimensional Schwarzschild black hole with respect to various black hole states in order to clarify whether something special…

High Energy Physics - Theory · Physics 2014-12-25 Myungseok Eune , Yongwan Gim , Wontae Kim

We present measurements of the fractal dimension of a turbulent asymptotically anti-deSitter black brane reconstructed from simulated boundary fluid data at the perfect fluid order using the fluid-gravity duality. We argue that the boundary…

General Relativity and Quantum Cosmology · Physics 2017-12-06 John Ryan Westernacher-Schneider
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