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In this paper we study the geodesic structure of the Schwarzschild black hole in rainbow gravity analyzing the behavior of null and time-like geodesic. We find that the structure of the geodesics essentially does not change when the…

General Relativity and Quantum Cosmology · Physics 2009-07-07 Carlos Leiva , Joel Saavedra , Jose Villanueva

The description of a point mass in general relativity (GR) is given in the framework of the field formulation of GR where all the dynamical fields, including the gravitational field, are considered in a fixed background spacetime. With the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 A. N. Petrov

While extreme black hole spacetimes with smooth horizons are known at the level of mathematics, we argue that the horizons of physical extreme black holes are effectively singular. Test particles encounter a singularity the moment they…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Donald Marolf

The Deser-Woodard gravity is a modified theory of gravity in which nonlocality plays a central role. In this context, nonlocality is a consequence of the inverse of the d'Alembertian operator $\square^{-1}$ in the effective action. Here,…

General Relativity and Quantum Cosmology · Physics 2025-12-19 Juliano C. S. Neves

We analytically investigate the influence of a cosmic expansion on the shadow of the Schwarzschild black hole. We suppose that the expansion is driven by a cosmological constant only and use the Kottler (or Schwarzschild-deSitter) spacetime…

General Relativity and Quantum Cosmology · Physics 2018-06-05 Volker Perlick , Oleg Yu. Tsupko , Gennady S. Bisnovatyi-Kogan

So-called "regular black holes" are a topic currently of considerable interest in the general relativity and astrophysics communities. Herein we investigate a particularly interesting regular black hole spacetime described by the line…

General Relativity and Quantum Cosmology · Physics 2019-03-01 Alex Simpson , Matt Visser

A naive introduction of a dependency of the mass of a black hole on the Schwarzschild time coordinate results in singular behavior of curvature invariants at the horizon, violating expectations from complementarity. If instead a temporal…

General Relativity and Quantum Cosmology · Physics 2008-11-26 James Lindesay

In this methodological paper we consider geodesic motion of particles in a spherically symmetric black hole space-times. We develop an approach based on splitting the velocity of a freely falling particle to the flow velocity, which depends…

General Relativity and Quantum Cosmology · Physics 2021-06-03 A. Toporensky , O. Zaslavskii

We revisit our investigation of the claim of [1] that old black holes contain a firewall, i.e. an in-falling observer encounters highly excited states at a time much shorter than the light crossing time of the Schwarzschild radius. We used…

High Energy Physics - Theory · Physics 2014-02-03 Tom Banks , Willy Fischler , Sandipan Kundu , Juan F. Pedraza

A homothetic, static, spherically symmetric solution to the massless Einstein- Klein-Gordon equations is described. There is a curvature singularity which is central, null, bifurcate and marginally trapped. The space-time is therefore…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sean A. Hayward

We study static black holes in quadratic gravity with planar and hyperbolic symmetry and non-extremal horizons. We obtain a solution in terms of an infinite power-series expansion around the horizon, which is characterized by two…

General Relativity and Quantum Cosmology · Physics 2023-02-28 Alena Pravdova , Vojtech Pravda , Marcello Ortaggio

It is well-known that a particle falling into a black hole will definitely reach the center in finite proper time if it enters the sphere of radius $3r_{s}/2$ where $r_{s}$ is the Schwarzschild radius. It is usually assumed that once the…

General Relativity and Quantum Cosmology · Physics 2010-06-23 Tarun Biswas

We derive and critically examine the consequences that follow from the formation of a regular black or white hole horizon in finite time of a distant observer. In spherical symmetry, only two distinct classes of solutions to the…

General Relativity and Quantum Cosmology · Physics 2023-01-30 Sebastian Murk , Daniel R. Terno

In spherical symmetry, solutions of the semiclassical Einstein equations belong to one of two possible classes. Both classes contain solutions that -- depending on the dynamic behavior of the horizon -- describe evaporating physical black…

General Relativity and Quantum Cosmology · Physics 2022-03-10 Pravin K. Dahal , Sebastian Murk , Daniel R. Terno

Complex scalar fields described by a novel Klein-Gordon equation derived from gauge and group theories are considered at the Schwarzschild's black hole singularities. It is shown that the field is well-behaved in the vicinity of these…

General Physics · Physics 2026-04-03 Z. E. Musielak , J. L. Fry , G. W. Kanan

The geometry of three-dimensional space guides the search for a better model than the blackhole with its unwelcome singularity. An elementary construction produces on the 4-manifold of 2-spheres in a Riemannian 3-space a space-time metric…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Homer G. Ellis

Tidal perturbations play an important role in the study of the dynamics in the classical two-body system. Understanding tidal effects in strong-field regions may allow one to use gravitational-wave or electromagnetic observations to locate…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Vitor Cardoso , Arianna Foschi

We give a comparative description of different types of regular static, spherically symmetric black holes (BHs) and discuss in more detail their particular type, which we suggest to call black universes. The latter have a Schwarzschild-like…

General Relativity and Quantum Cosmology · Physics 2008-11-26 K. A. Bronnikov , H. Dehnen , V. N. Melnikov

We give a full metric describing the gravitational field of a static and axisymmetric thin disk without radial pressure encircling a Schwarzschild black hole. The disk density profiles are astrophysically realistic, stretching from the…

General Relativity and Quantum Cosmology · Physics 2022-12-13 Petr Kotlařík , David Kofroň

A recent notion of geodesic flows which comes out of noncommutative geometry but which is also novel in the classical case is studied in detail for a Schwarzschild spacetime. In this framework, the geodesic velocity field is an independent…

General Relativity and Quantum Cosmology · Physics 2026-03-04 Kaushlendra Kumar , Shahn Majid
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