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We study a self-consistent solution of the semi-classical Einstein equation including the back reaction from the Hawking radiation. Our geometry is constructed by connecting flat space and the outgoing Vaidya metric at the locus of the…

High Energy Physics - Theory · Physics 2015-06-04 Hikaru Kawai , Yoshinori Matsuo , Yuki Yokokura

A nonstatic and circularly symmetric exact solution of the Einstein equations (with a cosmological constant $\Lambda$ and null fluid) in $2+1$ dimensions is given. This is a nonstatic generalization of the uncharged spinless BTZ metric. For…

General Relativity and Quantum Cosmology · Physics 2009-10-22 K. S. Virbhadra

In 1993, a proof was published, within ``Classical and Quantum Gravity,'' that there are no regular solutions to the {\it linearized} version of the twisting, type-N, vacuum solutions of the Einstein field equations. While this proof is…

General Relativity and Quantum Cosmology · Physics 2012-08-27 J. D. Finley , III , J. F. Plebański , Maciej Przanowski

Near a black hole or an ultracompact star, motion of particles is governed by strong gravitational field. Electrically charged particles feel also electromagnetic force arising due to currents inside the star or plasma circling around. We…

Astrophysics · Physics 2009-06-23 Jiri Kovar , Zdenek Stuchlik , Vladimir Karas

As current and future experiments probe strong gravitational regimes around neutron stars and black holes, it is desirable to have theoretically sound alternatives to general relativity against which to test observations. Here we study the…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Christopher Eling , Ted Jacobson , M. Coleman Miller

We present stationary and axially-symmetric black hole solutions to the Einstein field equations sourced by an anisotropic fluid, describing rotating black holes embedded in astrophysical environments. We compute their physical properties,…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Pedro G. S. Fernandes , Vitor Cardoso

A renormalizable theory of quantum gravity coupled to a dilaton and conformal matter in two space-time dimensions is analyzed. The theory is shown to be exactly solvable classically. Included among the exact classical solutions are…

High Energy Physics - Theory · Physics 2009-09-17 C. Callan , S. Giddings , J. Harvey , A. Strominger

This paper is the fourth in a series dedicated to the mathematically rigorous asymptotic analysis of gravitational radiation under astrophysically realistic setups. It provides an overview of the physical ideas involved in setting up the…

General Relativity and Quantum Cosmology · Physics 2025-08-20 Lionor Kehrberger

Gravitational-wave astronomy has the potential to explore one of the deepest and most puzzling aspects of Einstein's theory: the existence of black holes. A plethora of ultracompact, horizonless objects have been proposed to arise in models…

General Relativity and Quantum Cosmology · Physics 2018-10-04 Enrico Barausse , Richard Brito , Vitor Cardoso , Irina Dvorkin , Paolo Pani

We construct spherically symmetric and static solutions in $F(R)$ gravity coupled with electromagnetic fields. The solutions include new types of black holes with electric and magnetic charges. We show that the higher-derivative terms make…

General Relativity and Quantum Cosmology · Physics 2023-03-22 G. G. L. Nashed , S. Nojiri

A black hole solution in a teleparallel theory of (2+1)-dimensional gravity, given in a previous paper, is examined. This solution is also a solution of the three-dimensional vacuum Einstein equation with a vanishing cosmological constant.…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Toshiharu Kawai

We study spherical black-hole solutions in Einstein-aether theory, a Lorentz-violating gravitational theory consisting of General Relativity with a dynamical unit timelike vector (the "aether") that defines a preferred timelike direction.…

General Relativity and Quantum Cosmology · Physics 2011-07-11 Enrico Barausse , Ted Jacobson , Thomas P. Sotiriou

Numerical relativity is an essential tool for solving Einstein's equations of general relativity for dynamical systems characterized by high velocities and strong gravitational fields. The implementation of new algorithms that can solve…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Stuart L. Shapiro

We study the emissivity properties of a geometrically thin, optically thick, steady accretion disc about a static boson star. Starting from a numerical computation of the metric potentials and the rotational velocities of the particles in…

High Energy Physics - Phenomenology · Physics 2009-11-07 Diego F. Torres

A four-parameter class of exact asymptotically flat solutions of the Einstein-Maxwell equations involving only rational functions is presented. It is able to describe the exterior field of a slowly or rapidly rotating neutron star with…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Vladimir S. Manko , Eckehard W. Mielke , José D. Sanabria-Gómez

We show that Einstein equations are compatible with the presence of massive point particles and find corresponding two parameter family of their solutions which depends on the bare mechanical mass $M_0>0$ and the Keplerian mass $M<M_0$ of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 P. P. Fiziev

A non-static solution of Einstein's field equations of General Relativity representing the gravitational field of an axisymmetric radiation flow is obtained using the Eddington or the Kerr-Schild form for the metric. A solution obtained…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sanjay M. Wagh , Pradeep S. Muktibodh

The Einstein-Straus spacetime describes a nonrotating black hole immersed in a matter-dominated cosmology. It is constructed by scooping out a spherical ball of the dust and replacing it with a vacuum region containing a black hole of the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 William G. Laarakkers , Eric Poisson

We present a class of exact solutions of Einstein's gravitational field equations describing spherically symmetric and static anisotropic stellar type configurations. The solutions are obtained by assuming a particular form of the…

General Relativity and Quantum Cosmology · Physics 2017-10-04 T. Harko , M. K. Mak

The motion of spinning particles around compact objects, for example a rotating stellar object moving around a supermassive black hole, is described by differential equations that are, in general, non-integrable. In this work, we present a…

General Relativity and Quantum Cosmology · Physics 2023-02-27 Jose Miguel Ladino , Carlos Andrés del Valle , Eduard Larrañaga