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Related papers: Gravitational radiation from binary systems in $f(…

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We discuss spherically symmetric dynamical systems in the framework of a general model of $f({\cal R})$ gravity, i.e. $f({\cal R})={\cal R}e^{\zeta {\cal R}}$, where $\zeta$ is a dimensional quantity in squared length units [L$^2$]. We…

General Relativity and Quantum Cosmology · Physics 2024-05-17 G. G. L. Nashed , Salvatore Capozziello

The radiation reaction in compact spinning binaries on eccentric orbits due to the quadrupole-monopole interaction is studied. This contribution is of second post-Newtonian order. As result of the precession of spins the magnitude $L$ of…

General Relativity and Quantum Cosmology · Physics 2009-11-07 László Á. Gergely , Zoltán Keresztes

We reconcile seemingly conflicting statements in the literature about the behavior of cosmological solutions in modified theories of gravity where the Einstein-Hilbert Lagrangian for gravity is modified by the addition of a function of the…

Astrophysics · Physics 2008-11-26 Ignacy Sawicki , Wayne Hu

We analyse the $f(R)$ gravity in the so-called Jordan frame, as implemented to the isotropic Universe dynamics. The goal of the present study is to show that, according to recent data analyses of the supernovae Ia Pantheon sample, it is…

General Relativity and Quantum Cosmology · Physics 2023-04-12 Tiziano Schiavone , Giovanni Montani , Flavio Bombacigno

We investigate the damping of gravitational waves (GW) in $f(R)$ gravity by matter. By applying the kinetic theory, we examine the first-order approximation of the relativistic Boltzmann equation. In the flat spacetime, we derive the…

General Relativity and Quantum Cosmology · Physics 2025-03-13 Haiyuan Feng , Laiyuan Su , Rong-Jia Yang , Wei-Qiang Chen

The field equations in $f(R)$ gravity derived from the Palatini variational principle and formulated in the Einstein conformal frame yield a cosmological term which varies with time. Moreover, they break the conservation of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Nikodem J. Poplawski

This work discusses scalar-tensor theories of gravity, with a focus on the Brans-Dicke subclass, and one that also takes note of the latter's equivalence with $f(R)$ gravitation theories. A 1+3 covariant formalism is used in this case to…

General Relativity and Quantum Cosmology · Physics 2018-01-08 Joseph Ntahompagaze , Amare Abebe , Manasse R. Mbonye

We formulate the Dirac equation for a massive neutral spin-half particle on a rotating black hole spacetime, and we consider its (quasi)bound states: gravitationally-trapped modes which are regular across the future event horizon. These…

General Relativity and Quantum Cosmology · Physics 2015-11-13 Sam R Dolan , David Dempsey

Gravitational waves emitted by high redshift sources propagate through various epochs of the Universe including the current era of measurable, accelerated expansion. Historically, the calculation of gravitational wave power on cosmological…

General Relativity and Quantum Cosmology · Physics 2017-10-11 Béatrice Bonga , Jeffrey S. Hazboun

With the goal of bringing theory, particularly numerical relativity, to bear on an astrophysical problem of critical interest to gravitational wave observers we introduce a model for coalescence radiation from binary black hole systems. We…

Astrophysics · Physics 2009-11-07 J. Baker , M. Campanelli , C. O. Lousto , R. Takahashi

We investigate the possibility of generating sizeable dipole radiations in relativistic theories of gravity. Optimal parameters to observe their effects through the orbital period decay of binary star systems are discussed. Constraints on…

General Relativity and Quantum Cosmology · Physics 2007-08-14 J. -M. Gerard , Y. Wiaux

A plane symmetric Bianchi-I model is explored in $f(R,T)$ gravity, where $R$ is the Ricci scalar and $T$ is the trace of energy-momentum tensor. The solutions are obtained with the consideration of a specific Hubble parameter which yields a…

General Relativity and Quantum Cosmology · Physics 2020-03-23 Vijay Singh , Aroonkumar Beesham

The two-body problem under the influence of both dark energy and post-Newtonian modifications is studied. In this unified framework, we demonstrate that dark energy plays the role of a critical period with $T_{\Lambda} = 2\pi/c…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-11 David Benisty , Jenny Wagner , Denitsa Staicova

Radiation-reaction forces originating from the emission of gravitational waves (GW) bring binaries to close proximity and are thus responsible for virtually all the mergers that we can observe in GW interferometers. We show that there…

General Relativity and Quantum Cosmology · Physics 2023-03-29 Adrien Kuntz

We use 1-dimensional numerical simulations to study spherical collapse in the f(R) gravity models. We include the nonlinear coupling of the gravitational potential to the scalar field in the theory and use a relaxation scheme to follow the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Alex Borisov , Bhuvnesh Jain , Pengjie Zhang

Gravitational wave observations will probe non-linear gravitational interactions and thus enable strong tests of Einstein's theory of general relativity. We present a numerical relativity study of the late inspiral and merger of binary…

General Relativity and Quantum Cosmology · Physics 2015-06-03 James Healy , Tanja Bode , Roland Haas , Enrique Pazos , Pablo Laguna , Deirdre M. Shoemaker , Nicolás Yunes

We discuss the possibility that suitable modifications of gravity could account for some amount of the radiation we observe today, in addition to the possibility of explaining the present speed up of the universe. We start introducing and…

General Relativity and Quantum Cosmology · Physics 2015-12-02 Joao Morais , Mariam Bouhmadi-Lopez , Salvatore Capozziello

We investigate the gravitational radiation from binary systems in conformal gravity (CG) and massive conformal gravity (MCG). CG might explain observed galaxy rotation curves without dark matter, and both models are of interest in the…

General Relativity and Quantum Cosmology · Physics 2018-10-10 Chiara Caprini , Patric Hölscher , Dominik J. Schwarz

We study the nonlinear dynamics of binary black hole systems with scalar charge by numerically evolving the full equations of motion for shift-symmetric Einstein scalar Gauss-Bonnet gravity. We consider quasi-circular binaries with…

General Relativity and Quantum Cosmology · Physics 2023-01-25 Maxence Corman , Justin L. Ripley , William E. East

This article provides the details on the technical derivation of the gravitational waveform and total gravitational-wave energy flux of non-spinning compact binary systems to the 4PN (fourth post-Newtonian) order beyond the Einstein…

General Relativity and Quantum Cosmology · Physics 2023-10-03 Luc Blanchet , Guillaume Faye , Quentin Henry , François Larrouturou , David Trestini