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A supermassive black hole moving through a field of stars will gravitationally scatter the stars, inducing a backreaction force on the black hole known as dynamical friction. In Newtonian gravity, the axisymmetry of the system about the…

General Relativity and Quantum Cosmology · Physics 2017-03-16 Benjamin Cashen , Adam Aker , Michael Kesden

We propose a special solution of Einstein equations in the general Vaidya form representing a dynamical black hole having horizon cross-sections with toroidal topology. The concrete model enables us to study for the first time dynamical…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Pouria Dadras , J. T. Firouzjaee , Reza Mansouri

This paper presents a quasi-local method of studying the physics of dynamical black holes in numerical simulations. This is done within the dynamical horizon framework, which extends the earlier work on isolated horizons to time-dependent…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Erik Schnetter , Badri Krishnan , Florian Beyer

We construct analytical models to study the critical phenomena in gravitational collapse of the Husain-Martinez-Nunez massless scalar field. We first use the cut-and-paste technique to match the conformally flat solution ($c=0$ ) onto an…

General Relativity and Quantum Cosmology · Physics 2019-10-28 Xiaobao Wang , Xiaoning Wu , Sijie Gao

We consider $f(R)$ gravity theories in the presence of a scalar field minimally coupled to gravity with a self-interacting potential in $(2+1)$-dimensions. Without specifying the form of the $f(R)$ function, we first obtain an exact black…

General Relativity and Quantum Cosmology · Physics 2021-03-31 Thanasis Karakasis , Eleftherios Papantonopoulos , Zi-Yu Tang , Bin Wang

We derive a model that describes the motion of a Brownian particle in a system which is dominated by gravitational forces. An example of such a system is a massive black hole immersed in a cluster of stars. We compute the dispersion in the…

Astrophysics · Physics 2009-11-07 Pinaki Chatterjee , Lars Hernquist , Abraham Loeb

The orbital decay of massive black holes in galaxies in the aftermath of mergers is at the heart of whether massive black holes successfully pair and merge, leading to emission of low-frequency gravitational waves. The role of dynamical…

Astrophysics of Galaxies · Physics 2023-09-18 Sandrine Lescaudron , Yohan Dubois , Ricarda S. Beckmann , Marta Volonteri

A new framework for analysing the gravitational fields in a stationary, axisymmetric configuration is introduced. The method is used to construct a complete set of field equations for the vacuum region outside a rotating source. These…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Chris Doran , Anthony Lasenby

Gravitational wave astronomy has opened an unprecedented window onto tests of gravity and fundamental physics in the strong-field regime. In this study, we examine a series of well-motivated deviations from the classical Kerr solution of…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Zhe Zhao , Swarnim Shashank , Debtroy Das , Cosimo Bambi

When starting with a static, spherically-symmetric ansatz, there are two types of black hole solutions in dRGT massive gravity: (i) exact Schwarzschild solutions which exhibit no Yukawa suppression at large distances and (ii) solutions in…

High Energy Physics - Theory · Physics 2017-11-22 Rachel A Rosen

We consider the third law of thermodynamics for families of 4- and n-dimensional Vaidya black holes, including many of interest. Since there are several versions of the definition of surface gravity as well as the extremality condition for…

General Relativity and Quantum Cosmology · Physics 2024-09-30 F. Bahmani , F. Shojai , Sh. Anjomshoaa

If cosmological constant is positive, a black hole is naturally described by the Schwarzschild-de Sitter solution with two horizons. We use the global method to extract the topological information and the selection rule for the…

High Energy Physics - Theory · Physics 2007-05-23 Feng-Li Lin

We study the Hawking radiation in two dimensional dilaton black hole by means of quantum gravity holding near the apparent horizon. First of all, we construct the canonical formalism of the dilaton gravity in two dimensions. Then the Vaidya…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Ichiro Oda

Gravitational waves are rapidly becoming a very reliable tool for testing alternative theories of gravity. In particular, features in the gravitational wave emission during black hole ringdown phase provide a direct probe of the spacetime…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Ruifeng Dong , Dejan Stojkovic

An original way of presentation of the Schwarzschild black hole in the form of a point-like mass with making the use of the Dirac $\delta$-function, including a description of a continuous collapse to such a point mass, is given. A…

General Relativity and Quantum Cosmology · Physics 2017-12-29 A. N. Petrov

In a new gravitational theory with the trace anomaly recently proposed by Gabadadze, we study the existence of hairy black hole solutions on a static and spherically symmetric background. In this theory, the effective 4-dimensional action…

General Relativity and Quantum Cosmology · Physics 2023-07-07 Shinji Tsujikawa

We present a class of exact, dynamical, and fully analytic solutions describing regular black holes formed via the gravitational collapse of matter obeying a generalized polytropic equation of state. Starting from a Vaidya-type geometry…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Dmitriy Kudryavcev , Yi Ling , Vitalii Vertogradov

New physics beyond General Relativity impacts black-hole spacetimes. The effects of new physics can be investigated in a largely theory-agnostic way by following the principled-parameterized approach. In this approach, a classical…

General Relativity and Quantum Cosmology · Physics 2025-03-06 Héloïse Delaporte , Astrid Eichhorn

The contribution provides the backround of the model of Expansive Nondecelerative Universe, rationalizes the introduction of Vaidya metrics allowing thus to localize and quantify gravitational energy. A unifying explanation of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Miroslav Sukenik , Jozef Sima , Julius Vanko

In obtaining exact solutions in gravitational theories containing arbitrary model functions, such as Horndeski gravity, one usually starts by prescribing the model functions of the theory and then goes on to solving their corresponding…

General Relativity and Quantum Cosmology · Physics 2019-07-02 Reginald Christian Bernardo , Ian Vega