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We discuss motions of extended bodies in Kerr spacetime by using Mathisson-Papapetrou-Dixon equations. We firstly solve the conditions for circular orbits, and calculate the orbital frequency shift due to the mass quadrupoles. The results…

General Relativity and Quantum Cosmology · Physics 2017-03-22 Wen-Biao Han , Ran Cheng

We derive the multipole moments of the Kerr-NUT black hole spacetime using the Geroch-Hansen formalism, even though the spacetime is not asymptotically flat. Intriguingly, in the presence of the NUT charge, the absence of reflection…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Sajal Mukherjee , Sumanta Chakraborty

We show that at 1PN all four-dimensional black hole solutions in asymptotically flat spacetimes can be derived from leading singularities involving minimally coupled three-particle amplitudes. Furthermore, we show that the rotating…

High Energy Physics - Theory · Physics 2020-01-29 Nathan Moynihan

The vacuum Einstein equations in five dimensions are shown to admit a solution describing an asymptotically flat spacetime regular on and outside an event horizon of topology S^1 x S^2. It describes a rotating ``black ring''. This is the…

High Energy Physics - Theory · Physics 2009-07-09 Roberto Emparan , Harvey S. Reall

The quantum entropy of the Kerr black hole arising from gravitational perturbation is investigated by using Null tetrad and \'t Hooft\'s brick-wall model. It is shown that effect of the graviton\'s spins on the subleading correction is…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Jiliang Jing , Mu-Lin Yan

A static magnetic quadrupole moment of a nucleus, induced by T- and P-odd nucleon-nucleon interaction, is investigated in the single-particle approximation. Models are considered allowing for analytical solution. The problem is also treated…

Nuclear Theory · Physics 2009-09-25 V. F. Dmitriev , I. B. Khriplovich , V. B. Telitsin

The mass-type quadrupole moment of inspiralling compact binaries (without spins) is computed at the fourth post-Newtonian (4PN) approximation of general relativity. The multipole moments are defined by matching between the field in the…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Tanguy Marchand , Quentin Henry , François Larrouturou , Sylvain Marsat , Guillaume Faye , Luc Blanchet

We present arguments for the existence of charged, rotating black holes in $d=2N+1$ dimensions, with $d\geq 5$ with a positive cosmological constant. These solutions posses both, a regular horizon and a cosmological horizon of spherical…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Y. Brihaye , T. Delsate

We study the binary dynamics of two Kerr black holes with arbitrary spin vectors in the presence of parity-even and parity-odd cubic deformations of gravity. We first derive the tree-level Compton amplitudes for a Kerr black hole in cubic…

High Energy Physics - Theory · Physics 2024-08-02 Andreas Brandhuber , Graham R. Brown , Paolo Pichini , Gabriele Travaglini , Pablo Vives Matasan

We consider some implications of the departure from spherical symmetry for static solutions of the vacuum Einstein's equations describing black hole mimickers. In particular, we investigate how the presence of mass quadrupole moment affects…

General Relativity and Quantum Cosmology · Physics 2021-12-14 Daniele Malafarina , Sabina Sagynbayeva

We review the status of the fourth-order (quartic in the spacetime curvature) terms induced by superstrings/M-theory (compactified on a warped torus) in the leading order with respect to the Regge slope parameter, and study their…

High Energy Physics - Theory · Physics 2009-12-17 Masao Iihoshi , Sergei V. Ketov

All multipole moments of a Kerr black hole are uniquely determined by its mass and spin. Gravitational wave observations can test this prediction by measuring spin-induced multipole moments imprinted on the inspiral phase of compact binary…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Rimo Das , N. V. Krishnendu , M. Saleem , Chandra Kant Mishra , K. G. Arun

It has recently been demonstrated that Reissner-Nordstr\"om black holes in composed Einstein-Maxwell-scalar field theories can support static scalar field configurations with a non-minimal negative coupling to the Maxwell electromagnetic…

General Relativity and Quantum Cosmology · Physics 2022-09-14 Shahar Hod

We consider the motion of a charged spinning test/probe particle -- governed by the Mathisson-Papapetrou-Dixon equations with generic, adiabatic, and conservative spin- and field-induced multipole moments -- in a background…

General Relativity and Quantum Cosmology · Physics 2026-05-01 Christopher de Firmian , Justin Vines

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

One of the most important sources for space-borne gravitational wave detectors such as TianQin and LISA, is the merger of massivie black hole binaries. By analyzing the inspiral signals, we can probe the characteristics of massive black…

General Relativity and Quantum Cosmology · Physics 2024-07-30 Ying-Lin Kong , Jian-dong Zhang

The Kerr metric is known to present issues when trying to find an interior solution. In this work we continue in our efforts to construct a more realistic exterior metric for astrophysical objects. A new approximate metric representing the…

General Relativity and Quantum Cosmology · Physics 2016-09-02 Francisco Frutos-Alfaro , Paulo Montero-Camacho

We present a new class of spinning black hole solutions in $(2+1)$-dimensional general relativity minimally coupled to a dilaton with potential $e^{b\phi}\Lambda$. When $b=4$, the corresponding spinning black hole is a solution of low…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Kevin C. K. Chan , Robert B. Mann

The quadrupole formula in four-dimensional Einstein gravity is a useful tool to describe gravitational wave radiation. We derive the quadrupole formula for the Kaluza-Klein (KK) modes in the Randall-Sundrum braneworld model. The quadrupole…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Shunichiro Kinoshita , Hideaki Kudoh , Yuuiti Sendouda , Katsuhiko Sato

In this article we present some recent results on identifying correctly the relativistic multipole moments of numerically constructed spacetimes, and the consequences that this correction has on searching for appropriate analytic spacetimes…

General Relativity and Quantum Cosmology · Physics 2012-11-28 George Pappas , Theocharis A Apostolatos