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We present a new method designed to avoid numerical challenges that have impeded calculation of the Lorenz gauge self-force acting on a compact object inspiraling into a Kerr black hole. This type of calculation is valuable in creating…

General Relativity and Quantum Cosmology · Physics 2022-09-08 Thomas Osburn , Nami Nishimura

In this article we deduce two new exact solutions of Einstein's equations for eternal black holes, now related to stiff matter, one `static' and another rotating (stationary like the Kerr one), thus the number of these eternal solutions…

General Relativity and Quantum Cosmology · Physics 2012-10-19 Nikolai V. Mitskievich

A new Kerr-like metric with quadrupole moment is obtained by means of perturbing the Kerr spacetime. By comparison with the exterior Hartle-Thorne metric, it is showed that it could be matched to an interior solution. This metric may…

General Relativity and Quantum Cosmology · Physics 2014-01-09 Francisco Frutos-Alfaro

In this paper we show that it is possible to derive the Kerr solution in an alternative, intuitive way, based on physical reasoning and starting from an orthogonal metric ansatz having manifest ellipsoidal space-time symmetry (ellipsoidal…

General Relativity and Quantum Cosmology · Physics 2013-03-06 Branislav D. Nikolić , Milan R. Pantić

We propose an analytic metric describing rotating black holes surrounded by generic dark matter halos. This metric is an exact solution of the field equations that incorporates a dark matter halo with a central density spike in the vicinity…

General Relativity and Quantum Cosmology · Physics 2026-05-18 Rui-Hong Yue , Yu-Qian Zhao , Wei-Liang Qian

This paper presents a concise derivation of a new set of solutions for the interior structure of accreting, rotating black holes. The solutions are conformally stationary, axisymmetric, and conformally separable. Hyper-relativistic…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Andrew J. S. Hamilton , Gavin Polhemus

We present rotating solutions of Einstein's gravity coupled to an effective Born-Infeld theory that describes the end of open-string tachyon condensation after the decay of an unstable $D$-brane or a brane-antibrane system. The geometry of…

High Energy Physics - Theory · Physics 2024-09-11 Ram Brustein , A. J. M. Medved , Tamar Simhon

Starting from a recently constructed stealth Kerr solution of higher order scalar tensor theory involving scalar hair, we analytically construct disformal versions of the Kerr spacetime with a constant degree of disformality and a regular…

General Relativity and Quantum Cosmology · Physics 2021-01-07 Timothy Anson , Eugeny Babichev , Christos Charmousis , Mokhtar Hassaine

High resolution radio imaging of AGN have revealed that some sources present motion of superluminal knots and transverse stratification of their jet. Recent observational projects have provided new observational constraints on the central…

High Energy Astrophysical Phenomena · Physics 2018-05-16 L. Chantry , V. Cayatte , C. Sauty , N. Vlahakis , K. Tsinganos

We study some general properties of two black hole solutions in Einstein's conformal gravity. Both solutions can be obtained from the Kerr metric with a suitable conformal rescaling, which leads, respectively, to a regular and a singular…

General Relativity and Quantum Cosmology · Physics 2018-06-25 Qiqi Zhang , Leonardo Modesto , Cosimo Bambi

Solutions pertaining to a Kerr black hole with a flat horizon undergoing gradual rotation are explored in the context of gravitational theories modified by dynamical Chern-Simons terms with cylindrical metrics, which approach asymptotically…

General Relativity and Quantum Cosmology · Physics 2023-11-16 G. G. L. Nashed , Kazuharu Bamba

We revisit here a recent work on regular rotating black holes. We introduce a new mass function generalizing the commonly used Bardeen and Hayward mass functions and extend the recently proposed solutions in order to accommodate a…

General Relativity and Quantum Cosmology · Physics 2014-05-23 J. C. S. Neves , Alberto Saa

We interpret the cosmological constant as the energy of the vacuum, and under a minimum amount of assumptions, we show that it is deformed in the vicinity of a black hole. This leads us to reexamine the Kerr-de Sitter solution. We provide a…

General Relativity and Quantum Cosmology · Physics 2021-04-14 J. Ovalle , E. Contreras , Z. Stuchlik

Charged static and rotating objects as solutions of the Einstein-Maxwell field equations are obtained and studied in the present work. The full spacetime geometry is obtained by matching two spacetime regions, an interior region containing…

General Relativity and Quantum Cosmology · Physics 2024-12-19 Marcos L. W. Basso , Vilson T. Zanchin

To construct new Schwarzschild and Kerr-Newman metric solutions, we start from the Lagrangian in entropy and statistical mechanics, introducing $f(R)$ gravity theory and dark energy definitions. Through a series of calculations, we derive…

General Physics · Physics 2024-05-27 Wen-Xiang Chen , Yao-Guang Zheng

A unified approach to regular interiors of black holes with smooth matter distributions in the core region is given. The approach is based on a class of Kerr-Schild metrics representing minimal deformations of the Kerr-Newman solution, and…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Alexander Burinskii , Emilio Elizalde , Sergi R. Hildebrandt , Giulio Magli

The electromagnetic field around a Kerr black hole inside a current loop is sometimes used as the basis of a toy model for discussing the properties of particle orbits near astrophysical black holes. The motivation for the present paper is…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Ian G Moss

As a consequence of Birkhoff's theorem, the exterior gravitational field of a spherically symmetric star or black hole is always given by the Schwarzschild metric. In contrast, the exterior gravitational field of a rotating (axisymmetric)…

General Relativity and Quantum Cosmology · Physics 2022-09-22 R. Meinel

The Brown-York quasi-local energy of a rotating black hole described by the Kerr metric and enclosed by a fixed-radius surface is calculated by direct computation. No special assumptions on the angular momentum or the radial coordinate in…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Bjoern S. Schmekel

The Chern-Simons amended gravity theory appears as a low-energy effective theory of string theory. The effective theory includes an anomaly-cancelation correction to the Einstein-Hilbert action. The Chern-Simons expression consists of the…

General Relativity and Quantum Cosmology · Physics 2023-02-22 G. G. L. Nashed , Shin'ichi Nojiri