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Related papers: Physically motivated ansatz for the Kerr spacetime

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We find general parameterizations for generic off-diagonal spacetime metrics and matter sources in general relativity (GR) and modified gravity theories when the field equations decouple with respect to certain types of nonholonomic frames…

General Relativity and Quantum Cosmology · Physics 2014-12-25 Tamara Gheorghiu , Olivia Vacaru , Sergiu I. Vacaru

In this paper, we find Kerr solution accompanied with a nontrivial vector field as a solution to one of the simplest vector-tensor theories of gravity, namely the bumblebee model with an intriguing coupling constant between the Ricci…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Rui Xu , Zhan-Feng Mai , Dicong Liang

In general relativity without a cosmological constant, a classical theorem due to Hawking states that stationary black holes must be topologically spherical. This result is one of the several ingredients that collectively imply the…

General Relativity and Quantum Cosmology · Physics 2020-11-18 Sourabh Nampalliwar , Arthur G. Suvorov , Kostas D. Kokkotas

The Kerr spacetime is a fundamental solution of general relativity (GR), describing the gravitational field around a rotating, uncharged black hole (BH). Kerr spacetime has been crucial in modern astrophysics and it serves as a foundation…

General Relativity and Quantum Cosmology · Physics 2024-03-27 Rafael M. Santos , Rafael C. Nunes , Jose C. N. de Araujo

Kerr-Vaidya metrics are the simplest nonstationary extensions of the Kerr metric. We explore their properties and compare them with the near-horizon limits of the spherically symmetric self-consistent solutions (the ingoing Vaidya metric…

General Relativity and Quantum Cosmology · Physics 2020-12-17 Pravin Kumar Dahal , Daniel R. Terno

This short paper should serve as basis for further analysis of a previously found new symmetry of the solutions of the wave equation in the gravitational field of a Kerr black hole. Its main new result is the proof of essential…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Horst R. Beyer

We present an expression for the gravitational self-force correction to the geodetic spin precession of a spinning compact object with small, but non-negligible mass in a bound, equatorial orbit around a Kerr black hole. We consider only…

General Relativity and Quantum Cosmology · Physics 2017-09-15 Sarp Akcay

Kerr-Schild (KS) geometry of the rotating black-holes and spinning particles is based on the associated with Kerr theorem twistor structure which is defined by an analytic curve $F(Z)=0$ in the projective twistor space $Z \in CP^3 .$ On the…

High Energy Physics - Theory · Physics 2009-03-04 Alexander Burinskii

We present analytical solutions describing a family of both inwardly and outwardly spiralling orbits in the Kerr spacetime. The solutions are exact, and remarkable for their simplicity. These orbits all have the angular momentum and energy…

General Relativity and Quantum Cosmology · Physics 2023-07-12 Andrew Mummery , Steven Balbus

We discuss basic features of the model of spinning particle based on the Kerr solution. It contains a very nontrivial {\it real} stringy structure consisting of the Kerr circular string and an axial stringy system. We consider also the…

High Energy Physics - Theory · Physics 2009-11-10 Alexander Burinskii

In this paper, we formulate an analytic expression of the greybody factor for the Kerr-Newman black hole in the presence of the quintessential field. Primarily, we analyze the profile of effective potential by transforming the radial…

General Relativity and Quantum Cosmology · Physics 2020-01-30 M. Sharif , Qanitah Ama-Tul-Mughani

The possibility of extracting energy from a rotating black hole via the Blandford-Znajek mechanism represents a cornerstone of relativistic astrophysics. We present general-relativistic collisionless kinetic simulations of Kerr black-hole…

General Relativity and Quantum Cosmology · Physics 2025-09-19 Claudio Meringolo , Filippo Camilloni , Luciano Rezzolla

By applying Newman's method, the AdS_3 rotating black hole solution is "derived" from the nonrotating black hole solution of Banados, Teitelboim and Zanelli (BTZ). The rotating BTZ solution derived in this fashion is given in…

High Energy Physics - Theory · Physics 2007-05-23 Hongsu Kim

Gravitational-wave astronomy can give us access to the structure of black holes, potentially probing microscopic or even Planckian corrections at the horizon scale, as those predicted by some quantum-gravity models of exotic compact…

General Relativity and Quantum Cosmology · Physics 2017-12-07 Elisa Maggio , Paolo Pani , Valeria Ferrari

The Kerr metric is a vacuum solution of the Einstein equations outside of a rotating black hole, but what interior matter is actually rotating and sourcing the Kerr geometry? Here, we describe a rotating exotic matter which can source the…

General Relativity and Quantum Cosmology · Physics 2023-10-26 Ram Brustein , A. J. M. Medved

We derive the conditions for a non-equatorial eccentric bound orbit to exist around a Kerr black hole in two-parameter spaces: the energy, angular momentum of the test particle, spin of the black hole, and Carter's constant space ($E$, $L$,…

General Relativity and Quantum Cosmology · Physics 2022-12-07 Prerna Rana , A. Mangalam

A method is presented to construct a particular, non-minimally coupled scalar-tensor theory such that a given metric is an exact vacuum solution in that theory. In contrast to the standard approach in studies of gravitational dynamics,…

General Relativity and Quantum Cosmology · Physics 2021-01-13 Arthur G. Suvorov

In the past decade, we have seen an unprecedented progress in our ability of testing general relativity in the strong field regime with black hole observations. Most studies have focused on the so-called tests of the Kerr hypothesis: they…

General Relativity and Quantum Cosmology · Physics 2024-03-21 Shuaitongze Zhao , Shafqat Riaz , Cosimo Bambi

The excitation of quadratic quasinormal modes is an important nonlinear phenomenon for a Kerr black hole ringing at a specific linear mode. The amplitude of this second-order effect is proportional to the square of the linear mode…

General Relativity and Quantum Cosmology · Physics 2024-05-27 Sizheng Ma , Huan Yang

Unphysical equations of state result from the unrestricted use of the Synge G-trick of running the Einstein field equations backwards; in particular often this results in $\rho + p < 0$ which implies negative inertial mass density, which…

General Relativity and Quantum Cosmology · Physics 2023-11-17 George F R Ellis , David Garfinkle
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