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The mechanical first law (MFL) of black hole spacetimes is a geometrical relation which relates variations of mass parameter and horizon area. While it is well known that the MFL of asymptotic flat black hole is equivalent to its…

General Relativity and Quantum Cosmology · Physics 2009-05-20 Miho Urano , Akira Tomimatsu , Hiromi Saida

Methods and concepts for the study of phase transitions mediated by a time-dependent order-parameter field in curved spacetimes are discussed. A practical example is the derivation of an effective (quasi-)potential for the description of…

General Relativity and Quantum Cosmology · Physics 2010-04-06 B. L. Hu

It is widely believed that in the presence of a positive cosmological constant, heavy black holes can exhibit non-standard behaviour, namely there is a possibility that such objects would grow instead of evaporating. We point out that all…

General Relativity and Quantum Cosmology · Physics 2019-11-18 Maciej Kolanowski

We obtained new hairy black hole solutions in Einstein-scalar theory, including asymptotic flat, de Sitter and anti-de Sitter black holes. The theory is inspired by Ref. [1], where traversable wormhole solutions from an Einstein-phantom…

General Relativity and Quantum Cosmology · Physics 2024-03-19 Xiao-Ping Rao , Hyat Huang , Jinbo Yang

We obtain and analyze an exact solution to Einstein-Maxwell-scalar theory in $(2+1)$ dimensions, in which the scalar field couples to gravity in a non-minimal way, and it also couples to itself with the self-interacting potential solely…

General Relativity and Quantum Cosmology · Physics 2013-06-12 Wei Xu , Liu Zhao

We construct the classification scheme for all possible evolution scenarios and find the corresponding global geometries for dynamics of a thin spherical vacuum shell in the Schwarzschild-de Sitter metric. This configuration is suitable for…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. V. Chernov , V. I. Dokuchaev

We construct a canonical quantization, the Wheeler-DeWitt equation, of the interior geometry of static and spherically symmetric black holes in Einstein-Maxwell-$\Lambda$ framework, focusing on Reissner-Nordstr\"{o}m. The wave function of…

General Relativity and Quantum Cosmology · Physics 2026-02-05 Chen-Hsu Chien , Woosung Song , Gansukh Tumurtushaa , Dong-han Yeom

We show that D-dimensional de Sitter space is unstable to the nucleation of non-singular geometries containing spacetime regions with different numbers of macroscopic dimensions, leading to a dynamical mechanism of compactification. These…

High Energy Physics - Theory · Physics 2011-04-14 Sean M. Carroll , Matthew C. Johnson , Lisa Randall

This thesis is dedicated to studying cosmological inflation, which is a period of accelerated expansion in the very early Universe that is required to explain the observed anisotropies in the cosmic microwave background. Inflation, when…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-02 Chris Pattison

We study the gravitational collapse of a self-gravitating charged scalar-field. Starting with a regular spacetime, we follow the evolution through the formation of an apparent horizon, a Cauchy horizon and a final central singularity. We…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Shahar Hod , Tsvi Piran

We study the emergence of string instabilities in $D$ - dimensional black hole spacetimes (Schwarzschild and Reissner - Nordstr\o m), and De Sitter space (in static coordinates to allow a better comparison with the black hole case). We…

General Relativity and Quantum Cosmology · Physics 2009-10-22 C. O. Lousto , N. Sánchez

In this paper we present a method to study the frequency shift of signals sent from near a Schwarzschild black hole that grows or shrinks through accretion. We construct the numerical solution of Einstein's equations sourced by a spherical…

General Relativity and Quantum Cosmology · Physics 2021-10-18 F. S. Guzman , I. Alvarez-Rios , J. A. Gonzalez

In a four-dimensional Schwarzschild-de Sitter background, the spherically symmetric $(\ell=0)$ contribution to the Hadamard two-point correlation function is computed for a massless minimally-coupled scalar field in the Unruh state.…

General Relativity and Quantum Cosmology · Physics 2025-02-04 Ian M. Newsome , Silvia Pla , Paul R. Anderson

We analyze the nonlinear evolution of spherically symmetric wormhole solutions coupled to a massless ghost scalar field using numerical methods. In a previous article we have shown that static wormholes with these properties are unstable…

General Relativity and Quantum Cosmology · Physics 2008-12-25 J. A. Gonzalez , F. S. Guzman , O. Sarbach

The symmetric two-point function for a massless, minimally coupled scalar field in the Unruh state is examined for Schwarzschild-de Sitter spacetime in two dimensions. This function grows linearly in terms of a time coordinate that is…

General Relativity and Quantum Cosmology · Physics 2022-05-03 Paul R. Anderson , Zachary P. Scofield , Jennie Traschen

We study the dynamical and thermodynamic evolution of a Schwarzschild black hole in Modified Gravity (MOG) under a scalar gravitational wave breathing mode. The time-dependent apparent horizon reveals that both the scalar strain velocity…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Nikko John Leo S. Lobos , Emmanuel T. Rodulfo

We show that a single imperfect fluid can be used as a source to obtain the generalized McVittie metric as an exact solution to Einstein's equations. The mass parameter in this metric varies with time thanks to a mechanism based on the…

General Relativity and Quantum Cosmology · Physics 2012-12-07 Daniel C. Guariento , Michele Fontanini , Alan M. da Silva , Elcio Abdalla

In this work the evolution of two fields of matter in planar symmetric black holes D-dimensional with symmetry of Lifshitz whose dynamic exponent is $z$ were analyzed. The fields investigated were a scalar field non-minimal coupled to the…

General Relativity and Quantum Cosmology · Physics 2021-05-14 João Ider

The first-order semiclassical Einstein field equations are solved in the interior of the Schwarzschild-Tangherlini black holes. The source term is taken to be the stress-energy tensor of the quantized massive scalar field with arbitrary…

General Relativity and Quantum Cosmology · Physics 2015-08-19 Jerzy Matyjasek , Pawel Sadurski

We address some aspects of black hole spacetimes endowed with a positive cosmological constant, i.e. black holes located inside a cosmological event horizon. First we establish a general criterion for existence of cosmological event…

General Relativity and Quantum Cosmology · Physics 2013-02-07 Sourav Bhattacharya