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The Lagrangian equations of motion for massive spinning test particles (tops) moving on a gravitational background using General Relativity are presented. The paths followed by tops are nongeodesic. An exact solution for the motion of tops…

综合物理 · 物理学 2015-06-04 Sergio A. Hojman , Felipe A. Asenjo

We propose a gravitational theory in which the effective Lagrangian of the gravitational field is given by an arbitrary function of the Ricci scalar, the trace of the matter energy-momentum tensor, and the contraction of the Ricci tensor…

广义相对论与量子宇宙学 · 物理学 2014-12-30 Zahra Haghani , Tiberiu Harko , Hamid Reza Sepangi , Shahab Shahidi

We show how Newtonian gravity with effective (actually observed) masses, obeying the mass-energy relation of special relativity, can explain all observations used to test General relativity. Dynamics of a gravitationally coupled binary…

广义相对论与量子宇宙学 · 物理学 2010-10-01 Mladen Martinis , Nediljko Perković

We show that generalizations of general relativity theory, which consist in replacing the Hilbert Lagrangian $L_{Hilbert} = \frac 1{16\pi} \sqrt{|g|} R$ by a generic scalar density $L=L(g_{\mu\nu}, R^\lambda_{\mu\nu\kappa})$ depending upon…

广义相对论与量子宇宙学 · 物理学 2016-09-21 Jerzy Kijowski

In this paper we show how a gravitational field generated by a given energy-momentum distribution (for all realistic cases) can be represented by distinct geometrical structures (Lorentzian, teleparallel and non null nonmetricity…

数学物理 · 物理学 2014-11-20 E. A. Notte-Cuello , R. da Rocha , W. A. Rodrigues

Gravity field theory and electromagnetic field theory are well established and confirmed by experiments. The Schwarzschild metric and Kerr Metric of Einstein field equation shows that the spatial differential of time gauge is the gravity…

综合物理 · 物理学 2007-05-23 Xiao Jianhua

In light of upcoming observations modelling perturbations in dark energy and modified gravity models has become an important topic of research. We develop an effective action to construct the components of the perturbed dark energy momentum…

高能物理 - 理论 · 物理学 2015-06-04 Richard A. Battye , Jonathan A. Pearson

We study a class of geometries in which nonmetricity is fully determined by a vectorial degree of freedom and three independent coefficients. Formulating the simplest linear action in this geometry, implemented through Lagrange multipliers,…

广义相对论与量子宇宙学 · 物理学 2025-05-23 Lehel Csillag , Erik Jensko

In this paper, a modification of general relativity is considered. It consists of generalizing the Lagrangian of matter in a non-linear way, that is, replacing the curvature scalar $R$ by a function $f(R,T_{\mu\nu} T^{\mu\nu} )$, where…

广义相对论与量子宇宙学 · 物理学 2023-05-31 Á. J. C. Canuto , A. F. Santos

The disformal transformation of metric $g_{\mu \nu} \to \Omega^2 (\phi)g_{\mu \nu}+\Gamma(\phi,X) \partial_{\mu}\phi \partial_{\nu}\phi$, where $\phi$ is a scalar field with the kinetic energy $X= \partial_{\mu}\phi \partial^{\mu}\phi/2$,…

广义相对论与量子宇宙学 · 物理学 2015-10-07 Shinji Tsujikawa

A modified gravitational model whose action is given by an arbitrary function of the Ricci scalar, the matter Lagrangian density, a scalar field, and its kinetic term is investigated as an extension of the gravitational sector including an…

广义相对论与量子宇宙学 · 物理学 2026-05-21 Faizuddin Ahmed , A. F. Santos

Emergent modified gravity presents a new class of gravitational theories in which the structure of space-time with Riemannian geometry of a certain signature is not presupposed. Relying on crucial features of a canonical formulation, the…

广义相对论与量子宇宙学 · 物理学 2024-04-09 Martin Bojowald , Erick I. Duque , Dennis Hartmann

This study aims to investigate the impact of dark energy in cosmological scenarios by exploiting $f(\bar{R},\bar{T})$ gravity within the framework of a {\it non-standard} theory, called {\it {\bf K-}essence} theory, where $\bar{R}$…

广义相对论与量子宇宙学 · 物理学 2025-06-09 Arijit Panda , Saibal Ray , Goutam Manna , Surajit Das , Chayan Ranjit

We consider the minimal low-energy action for gravity up to six derivatives which is renormalizable at the two-loop level modulo higher derivative corrections. Then we study the classical solutions corresponding to the Schwarzschild and the…

高能物理 - 唯象学 · 物理学 2008-11-26 A. Dobado , A. Lopez

The gravitational field of a particle of small mass $\mu$ moving through curved spacetime, with metric $g_{ab}$, is naturally and easily decomposed into two parts each of which satisfies the perturbed Einstein equations through $O(\mu)$.…

广义相对论与量子宇宙学 · 物理学 2009-09-01 Steven Detweiler

A modified gravitational model whose action is given by an arbitrary function of the Ricci scalar, the matter Lagrangian density, a scalar field, and its kinetic term is investigated as an extension of the gravitational sector including an…

广义相对论与量子宇宙学 · 物理学 2026-05-04 L. A. S. Evangelista , M. L. R. Silva , J. V. Moretti , A. F. Santos

We consider general curvature-invariant modifications of the Einstein-Hilbert action that become important only in regions of extremely low space-time curvature. We investigate the far future evolution of the universe in such models,…

The present work investigates some exact solutions of the gravitational wave equation in some widely used cosmological spacetimes. The examples are taken from spatially flat and closed isotropic models as well as Kasner metric which is…

广义相对论与量子宇宙学 · 物理学 2021-07-06 Sushovan Mondal , Saif Ali , Shanima S , Narayan Banerjee , Golam Mortuza Hossain

We present a new covariant, gauge-invariant formalism describing linear metric perturbation fields on any spherically symmetric background in general relativity. The advantage of this formalism relies in the fact that it does not require a…

广义相对论与量子宇宙学 · 物理学 2013-04-15 Eliana Chaverra , Néstor Ortiz , Olivier Sarbach

We study S-duality transformations that mix the Riemann tensor with the field strength of a 3-form field. The dual of an (A)dS space time - with arbitrary curvature - is seen to be flat Minkowski space time, if the 3-form field has…

高能物理 - 理论 · 物理学 2009-11-10 U. Ellwanger