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Quadratic theories of gravity with second order equations of motion provide an interesting model for testing deviations from general relativity in the strong gravity regime. However, they can suffer from a loss of hyperbolicity, even for…

General Relativity and Quantum Cosmology · Physics 2023-07-14 Daniela D. Doneva , Llibert Aresté Saló , Katy Clough , Pau Figueras , Stoytcho S. Yazadjiev

The Kerr-Newman solution has g=2 as that of the Dirac electron and is considered as a model of spinning particle in general relativity. The Kerr geometry changes cardinally our representations on the role of gravity in the particle physics.…

High Energy Physics - Theory · Physics 2007-05-23 Alexander Burinskii

We present a new cubic theory of gravity in five dimensions which has second order traced field equations, analogous to BHT new massive gravity in three dimensions. Moreover, for static spherically symmetric spacetimes all the field…

General Relativity and Quantum Cosmology · Physics 2011-01-27 Julio Oliva , Sourya Ray

We examine the structure of the Clifford algebra associated with a Hermitian bilinear form and apply the result to a dynamical model of the relativistic point particle. The dynamics of the particle is described by a Dirac spinor with…

High Energy Physics - Theory · Physics 2007-05-23 Kaare Borchsenius

Motivated by the Kerr-CFT conjecture, we investigate perturbations of the near-horizon extreme Kerr spacetime. The Teukolsky equation for a massless field of arbitrary spin is solved. Solutions fall into two classes: normal modes and…

High Energy Physics - Theory · Physics 2009-09-28 Oscar J. C. Dias , Harvey S. Reall , Jorge E. Santos

In a previous paper, we developed tools for studying the horizon geometry of a Kerr black hole that is tidally distorted by a binary companion using techniques that require large mass ratios but can be applied to any bound orbit and allow…

General Relativity and Quantum Cosmology · Physics 2016-09-07 Stephen O'Sullivan , Scott A. Hughes

Near-future, space-based, radio- and gravitational-wave interferometry missions will enable us to rigorously test whether the Kerr solution of general relativity accurately describes astrophysical black holes, or if it requires some kind of…

General Relativity and Quantum Cosmology · Physics 2023-07-12 Pablo A. Cano , Alexander Deich , Nicolás Yunes

Building on recent approaches, we develop an effective field theory for the interaction of spinning particles modeling Kerr black holes within the gravitational self-force expansion. To incorporate dimensional regularization into this…

High Energy Physics - Theory · Physics 2025-10-09 Dogan Akpinar , Vittorio del Duca , Riccardo Gonzo

The Kerr metric outside the ergosphere is transformed into ADM coordinates up to the orders $1/r^4$ and $a^2$, respectively in radial coordinate $r$ and reduced angular momentum variable $a$, starting from the Kerr solution in…

General Relativity and Quantum Cosmology · Physics 2012-04-26 Steven Hergt , Gerhard Schäfer

We investigate composite models of gravity and explore how dynamical tensor fields can emerge within the functional renormalization group framework. We consider two prototype models: a fermionic theory and a scalar theory. In both cases, an…

High Energy Physics - Theory · Physics 2026-04-30 Yadikaer Maitiniyazi , Masatoshi Yamada

We study the perturbed-from-synchronous librational state of a double asteroid, modeled by the Full Two Rigid Body Problem (F2RBP), with primary emphasis on deriving analytical formulas which describe the system's evolution after deflection…

Earth and Planetary Astrophysics · Physics 2024-09-11 Michalis Gaitanas , Christos Efthymiopoulos , Ioannis Gkolias , George Voyatzis , Kleomenis Tsiganis

A small deformation controlled by four free parameters to the Schwarzschild metric could be referred to a nonspinning black hole solution in alternative theories of gravity. Because such a non-Schwarzschild metric can be changed into a…

General Relativity and Quantum Cosmology · Physics 2021-12-14 Hongxing Zhang , Naying Zhou , Wenfang Liu , Xin Wu

We calculate the explicit equations of motion for non-spinning compact objects to 2.5 post-Newtonian order, or O(v/c)^5 beyond Newtonian gravity, in a general class of scalar-tensor theories of gravity. We use the formalism of the Direct…

General Relativity and Quantum Cosmology · Physics 2013-05-14 Saeed Mirshekari , Clifford M. Will

The Newman-Penrose formalism is used to derive the Teukolsky master equations controlling massless scalar, neutrino, electromagnetic, gravitino, and gravitational field perturbations of the Kerr-de Sitter spacetime. Then the quantum entropy…

General Relativity and Quantum Cosmology · Physics 2014-11-17 S. Q. Wu , M. L. Yan

We report on the first numerical-relativity simulations of black-hole binaries that deviate from General Relativity due to quadratic-curvature corrections. Said theory of Quadratic Gravity propagates additional massive modes and admits both…

General Relativity and Quantum Cosmology · Physics 2025-03-18 Aaron Held , Hyun Lim

We compute the flux of linear momentum carried by gravitational waves emitted from spinning binary black holes at 2PN order for generic orbits. In particular we provide explicit expressions of three new types of terms, namely…

General Relativity and Quantum Cosmology · Physics 2009-10-27 Etienne Racine , Alessandra Buonanno , Lawrence E. Kidder

The quantum spin effects inside matter can be modeled via the Weyssenhoff fluid, which permits to unearth a formal analogy between general relativity and Einstein-Cartan theory at the first post-Newtonian order. In this framework, we…

General Relativity and Quantum Cosmology · Physics 2023-09-20 Vittorio De Falco , Emmanuele Battista

We combine tools from effective field theory and generalized unitarity to construct a map between on-shell scattering amplitudes and the classical potential for interacting spinless particles. For general relativity, we obtain analytic…

High Energy Physics - Theory · Physics 2019-01-31 Clifford Cheung , Ira Z. Rothstein , Mikhail P. Solon

We develop massive higher-spin theory as a framework for describing dynamics of rotating compact objects, such as Kerr black holes. In this paper, we explore gauge interactions up to quartic order and corresponding Compton amplitudes of…

High Energy Physics - Theory · Physics 2023-11-27 Lucile Cangemi , Marco Chiodaroli , Henrik Johansson , Alexander Ochirov , Paolo Pichini , Evgeny Skvortsov

Binary systems of black holes emit gravitational waves as they move through their orbits. While most of the emitted radiation escapes to future null infinity, a small fraction is absorbed by the black holes themselves. This is known as…

General Relativity and Quantum Cosmology · Physics 2024-12-05 Danilo Chiaramello , Rossella Gamba
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