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There is a host of alternative theories of gravitation in the literature, among them the $f(R,T)$ recently elaborated by Harko and collaborators. In these theories the $R$ and $T$ are respectively the Ricci scalar and the trace of the…

广义相对论与量子宇宙学 · 物理学 2016-07-27 M. E. S. Alves , P. H. R. S. Moraes , J. C. N. de Araujo , M. Malheiro

Spherical gravitational wave is strictly forbidden in vacuum space in frame of general relativity by the Birkhoff theorem. We prove that spherical gravitational waves do exist in non-linear massive gravity, and find the exact solution.…

广义相对论与量子宇宙学 · 物理学 2022-01-05 Hongsheng Zhang , Yang Huang

We determine the binding energy, the total gravitational wave energy flux, and the gravitational wave modes for a binary of rapidly spinning black holes, working in linearized gravity and at leading orders in the orbital velocity, but to…

广义相对论与量子宇宙学 · 物理学 2018-06-22 Nils Siemonsen , Jan Steinhoff , Justin Vines

Considering gravitational waves propagating on the most general 4+N-dimensional space-time, we investigate the effects due to the N extra dimensions on the four-dimensional waves. All wave equations are derived in general and discussed. On…

高能物理 - 理论 · 物理学 2019-05-09 David Andriot , Gustavo Lucena Gómez

Using the Teukolsky and Sasaki-Nakamura equations for the gravitational perturbation of the Kerr spacetime, we calculate the post-Newtonian expansion of the energy and angular momentum luminosities of gravitational waves from a test…

广义相对论与量子宇宙学 · 物理学 2009-10-09 Masaru Shibata , Misao Sasaki , Hideyuki Tagoshi , Takahiro Tanaka

In a previous paper we investigate a Lagrangian field theory for the gravitational field (which is there represented by a section g^a of the orthonormal coframe bundle over Minkowski spacetime. Such theory, under appropriate conditions, has…

数学物理 · 物理学 2014-12-15 Roldao da Rocha , Waldyr A. Rodrigues

We study the polarization modes of gravitational waves in general Einstein-vector theory with an arbitrary constant background vector field under a Minkowski background. We compare these polarization modes with those of other vector-tensor…

广义相对论与量子宇宙学 · 物理学 2025-01-06 Xiao-Bin Lai , Yu-Qi Dong , Yu-Qiang Liu , Yu-Xiao Liu

Corrections to the relativistic theory of orbits are discussed considering higher order approximations induced by gravitomagnetic effects. Beside the standard periastron effect of General Relativity (GR), a new nutation effect was found due…

广义相对论与量子宇宙学 · 物理学 2014-11-20 Salvatore Capozziello , Mariafelicia De Laurentis , Luca Forte , Fabio Garufi , Leopoldo Milano

First, we obtain the plane wave solution of the linearized massive conformal gravity field equations. It is shown that the theory has seven physical plane waves. In addition, we investigate the gravitational radiation from binary systems in…

广义相对论与量子宇宙学 · 物理学 2020-08-26 F. F. Faria

We undertake a complete and covariant treatment for the quadratic Lagrangian of all of the degrees of freedom of massive gravity with a fixed flat fiducial metric for arbitrary massive gravity parameters around any isotropic…

高能物理 - 理论 · 物理学 2014-11-26 Pavel Motloch , Wayne Hu

We study gravitational theory in 1+2 spacetime dimensions which is determined by the Lagrangian constructed as a sum of the Einstein-Hilbert term plus the two (translational and rotational) gravitational Chern-Simons terms. When the…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Yuri N. Obukhov

The status of canonical reduction for metric and tetrad gravity in space-times of the Christodoulou-Klainermann type, where the ADM energy rules the time evolution, is reviewed. Since in these space-times there is an asymptotic Minkowski…

广义相对论与量子宇宙学 · 物理学 2017-08-23 Luca Lusanna

We study modified theories of gravity of the f(R) type in Palatini formalism. For a generic f(R) lagrangian, we show that the metric can be solved as the product of a scalar function times a rank-two tensor (or auxiliary metric). The scalar…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Gonzalo J. Olmo

A fourth order generalized f(R) gravity theory (FOG) is considered with the Einstein-Hilbert action $R+aR^{2}+bR_{\mu \nu}R^{\mu \nu},$ $R_{\mu \nu}$ being Ricci\'{}s tensor and R the curvature scalar. The field equations are applied to…

广义相对论与量子宇宙学 · 物理学 2011-08-09 Emilio Santos

The detection of gravitational waves by the Laser Interferometer Gravitational-Wave Observatory opens a new era to use gravitational waves to test alternative theories of gravity. We investigate the polarizations of gravitational waves in…

广义相对论与量子宇宙学 · 物理学 2018-04-02 Yungui Gong , Shaoqi Hou

It is investigated the gravitational waves phenomena in the geometric scalar theory of gravity (GSG), a class of theories such that gravity is described by a single scalar field. The associated physical metric describing the spacetime is…

广义相对论与量子宇宙学 · 物理学 2019-08-16 Júnior Diniz Toniato

We study the Carrollian limit of the (general) quadratic gravity in four dimensions. We find that in order for the Carrollian theory to be a modification of the Carrollian limit of general relativity, the parameters in the action must…

广义相对论与量子宇宙学 · 物理学 2026-01-28 Poula Tadros , Ivan Kolář

In linearized gravity with distributed matter, the background metric has no generic symmetries, and decomposition of the metric perturbation into global normal modes is generally impractical. This complicates the identification of the…

广义相对论与量子宇宙学 · 物理学 2022-11-17 Deepen Garg , I. Y. Dodin

After recalling the differential geometry of non-metric connections in the formalism of differential forms, we introduce the idea of a Non-Metricity (NM) connection, whose connection $1$--forms coincides with the non-metricity $1$--forms…

广义相对论与量子宇宙学 · 物理学 2020-09-04 Igor Mol

Cosmological Gravitational Waves (GWs) are usually associated with the transverse-traceless part of the metric perturbations in the context of the theory of cosmological perturbations. These modes are just the usual polarizations `+' and…

广义相对论与量子宇宙学 · 物理学 2014-11-20 Marcio E. S. Alves , Oswaldo D. Miranda , Jose C. N. de Araujo
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