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Related papers: De/re-constructing the Kerr Metric

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The description of complex physical phenomena often involves sophisticated models that rely on a large number of parameters, with many dimensions and scales. One practical way to simplify that kind of models is to discard some of the…

Soft Condensed Matter · Physics 2025-11-11 Simone Rusconi , Christina Schenk , Razvan Ceuca , Arghir Zarnescu , Elena Akhmatskaya

The null geodesic equations that describe motion of photons in Kerr spacetime are solved exactly in the presence of the cosmological constant $\Lambda$. The exact solution for the deflection angle for generic light orbits (i.e. non-polar,…

General Relativity and Quantum Cosmology · Physics 2011-04-08 G. V. Kraniotis

A stationary axially symmetric solution describing a rotating anisotropic source for Einstein Field Equations(EFE) is proposed which matches to the exterior Kerr metric. The anisotropic source satisfies all energy conditions - weak, strong,…

General Relativity and Quantum Cosmology · Physics 2017-07-04 F. Z. Majidi

We present a novel approach for the construction of interior solutions for the Kerr metric, extending J. Ovalle's foundational work through ellipsoidal coordinate transformations. By deriving a physically plausible interior solution that…

General Relativity and Quantum Cosmology · Physics 2025-01-30 Yu-Ching Chou

Considerable attention has recently focused on gravity theories obtained by extending general relativity with additional scalar, vector, or tensor degrees of freedom. In this paper, we show that the black-hole solutions of these theories…

Astrophysics · Physics 2008-11-26 Dimitrios Psaltis , Delphine Perrodin , Keith R. Dienes , Irina Mocioiu

The classical double copy idea relates some solutions of Einstein's theory with those of gauge and scalar field theories. We study the Kerr-Schild-Kundt (KSK) class of metrics in $d$-dimensions in the context of possible new examples of…

General Relativity and Quantum Cosmology · Physics 2021-09-08 Metin Gurses , Bayram Tekin

In this paper, we study the odd solution of the linearlized Einstein equation on the Schwarzschild background and in the harmonic gauge. With the aid of Regge-Wheeler quantities, we are able to estimate the odd part of Lichnerowicz…

Differential Geometry · Mathematics 2018-05-28 Pei-Ken Hung

We examine three-dimensional metric deformations based on a tetrad transformation through the action the matrices of scalar fields. We describe by this approach to deformation the results obtained by Coll et al. in [1], where it is stated…

General Relativity and Quantum Cosmology · Physics 2015-02-05 Daniela Pugliese , Cosimo Stornaiolo

A natural combined model of the Kerr spinning particle and superparticle is obtained leading to a non-trivial super black hole solution. By analogue with complex structure of the Kerr solution we perform a supershift on the Kerr geometry,…

High Energy Physics - Theory · Physics 2016-09-06 Alexander Burinskii

No Kerr-like exact solution has yet been found in Chern-Simons modified gravity. Intrigued by this absence, we study stationary and axisymmetric metrics that could represent the exterior field of spinning black holes. For the standard…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Daniel Grumiller , Nicolas Yunes

The Kerr-Newman metric describes a very special rotating, charged mass and is the most general of the asymptotically flat stationary 'black hole' solutions to the Einstein-Maxwell equations of general relativity. We review the derivation of…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Tim Adamo , E. T. Newman

The one-loop contributions to the entropy for a massive scalar field in a Kerr black hole are investigated using an approximation of the metric, which, after a conformal transformation, permits to work in a Rindler-like spacetime. Of…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Guido Cognola

A Kerr type solution in the Regge calculus is considered. It is assumed that the discrete general relativity, the Regge calculus, is quantized within the path integral approach. The only consequence of this approach used here is the…

General Relativity and Quantum Cosmology · Physics 2021-08-26 V. M. Khatsymovsky

We study Kerr-Schild-Kundt class of metrics in generic gravity theories with Maxwell's field. We prove that these metrics linearize and simplify the field equations of generic gravity theories with Maxwell's field.

General Relativity and Quantum Cosmology · Physics 2022-02-18 Metin Gurses , Yaghoub Heydarzade , Cetin Senturk

We describe conditions assuring that the Kerr--Schild type solutions of Einstein equations with pure radiation fields are asymptotically flat at future null infinity. Such metrics cannot describe ``true'' gravitational radiation from…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Włodzimierz Natorf

Massive gravity previously constructed as the spin-2 quantum gauge theory is studied in the classical limit. The vector-graviton field v which does not decouple in the limit of vanishing graviton mass gives rise to a modification of general…

High Energy Physics - Theory · Physics 2008-04-28 G. Scharf

The paper deals with a special kind of problems that appear in solutions of Einstein's field equations for extended bodies: many structure-dependent terms appear in intermediate calculations that cancel exactly in virtue of the local…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Sergei Klioner , Michael Soffel

A new Kerr-like metric with quadrupole moment is obtained by means of perturbing the Kerr spacetime. The form of this new metric is simple as the Kerr metric. By comparison with the exterior Hartle-Thorne metric, it is shown that it could…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-15 Francisco Frutos-Alfaro , Paulo Montero-Camacho , Miguel Araya-Arguedas , Javier Bonatti-Gonzalez

The present paper aims at elaborating a completely physical representation for the general 4-parameter family of the extended double-Kerr spacetimes describing two spinning sources in gravitational equilibrium. This involved problem is…

General Relativity and Quantum Cosmology · Physics 2015-11-11 V. S. Manko , E. Ruiz

The deflection of light in the gravitational field of a massive body can be analyzed through diverse theoretical approaches. The null geodesic approach is commonly employed to calculate light deflection within strong and weak field limits.…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Saswati Roy , Shubham Kala , Atanu Singha , Hemwati Nandan , A. K. Sen