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This review explores modified theories of gravity, particularly $f(R)$ gravity, as extensions to General Relativity (GR) that offer alternatives to dark energy for explaining cosmic acceleration. These models generalize the Einstein-Hilbert…

广义相对论与量子宇宙学 · 物理学 2025-03-05 Rafid H. Dejrah

The cosmological propagation of tensor perturbations is studied in the context of parity-violating extensions of the symmetric teleparallel equivalent of General Relativity theory. This non-Riemannian formulation allows for a wider variety…

广义相对论与量子宇宙学 · 物理学 2019-12-11 Aindriú Conroy , Tomi Koivisto

In a modified gravity theory, the propagation equation of gravitational waves will be presented in a non-standard way. Therefore this tenor mode perturbation of time-space, as a complement to the scalar mode perturbation, provides a unique…

宇宙学与河外天体物理 · 物理学 2015-06-03 Lixin Xu

A general analytic procedure is developed to deal with the Newtonian limit of $f(R)$ gravity. A discussion comparing the Newtonian and the post-Newtonian limit of these models is proposed in order to point out the differences between the…

广义相对论与量子宇宙学 · 物理学 2008-11-26 S. Capozziello , A. Stabile , A. Troisi

The investigation of the transverse effect of gravitational waves (GWs) could constitute a further tool to discriminate among several relativistic theories of gravity on the ground. After a review of the TT gauge, the transverse effect of…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Christian Corda

Power-law corrections (having the exponent strictly between 2 and 3) to the Einstein-Hilbert action yield an extended theory of gravity which is consistent with Solar-System tests and properly reproduces the main phases of the Universe…

宇宙学与河外天体物理 · 物理学 2013-12-13 Salvatore Capozziello , Nakia Carlevaro , Mariafelicia De Laurentis , Massimiliano Lattanzi , Giovanni Montani

The nature of gravity can be tested by how gravitational waves (GWs) are emitted, detected, and propagate through the universe. Propagation tests are powerful, as small deviations compound over cosmological distances. However, GW…

广义相对论与量子宇宙学 · 物理学 2025-02-03 Nicola Menadeo , Miguel Zumalacárregui

We have taken a modified version of the Einstein Hilbert action, $ f(R, T^\phi) $ gravity under consideration, where $T^\phi$ is the energy-momentum tensor trace for the scalar field under consideration. The structural behaviour of the…

广义相对论与量子宇宙学 · 物理学 2021-11-22 Sourav Roy Chowdhury , Maxim Khlopov

We discuss the non-relativistic limit of quantum field theory in an inertial frame, in the Rindler frame and in the presence of a weak gravitational field, highlighting and clarifying several subtleties. We study the following topics: (a)…

广义相对论与量子宇宙学 · 物理学 2011-11-01 Hamsa Padmanabhan , T. Padmanabhan

Many studies have been carried out in the literature to evaluate the number of polarization modes of gravitational waves in modified theories, in particular in $f(R)$ theories. In the latter ones, besides the usual two transverse-traceless…

广义相对论与量子宇宙学 · 物理学 2018-07-26 H. Rizwana Kausar , Lionel Philippoz , Philippe Jetzer

The nonlocal theory of accelerated systems is extended to linear gravitational waves as measured by accelerated observers in Minkowski spacetime. The implications of this approach are discussed. In particular, the nonlocal modifications of…

高能物理 - 理论 · 物理学 2009-11-11 Bahram Mashhoon

This review is focused on tests of Einstein's theory of General Relativity with gravitational waves that are detectable by ground-based interferometers and pulsar timing experiments. Einstein's theory has been greatly constrained in the…

广义相对论与量子宇宙学 · 物理学 2015-06-15 Nicolas Yunes , Xavier Siemens

In this paper, we show how a power-law correction to the Einstein-Hilbert action provides a viable modified theory of gravity, passing the Solar-System tests, when the exponent is between the values 2 and 3. Then, we implement this paradigm…

广义相对论与量子宇宙学 · 物理学 2015-05-19 Nakia Carlevaro , Giovanni Montani , Massimiliano Lattanzi

In the weak-field limit of General Relativity, gravitational waves obey linear equations and propagate at the speed of light. These properties of General Relativity are supported by the observation of ultra high energy cosmic rays as well…

高能天体物理现象 · 物理学 2017-07-26 Paul M. Chesler , Abraham Loeb

We study the propagation of cosmological gravitational wave (GW) backgrounds from the early radiation era until the present day in modified theories of gravity. Comparing to general relativity (GR), we study the effects that modified…

广义相对论与量子宇宙学 · 物理学 2023-06-21 Yutong He , Alberto Roper Pol , Axel Brandenburg

In this article, I present an elementary introduction to the theory of gravitational waves. This article is meant for students who have had an exposure to general relativity, but, results from general relativity used in the main discussion…

物理教育 · 物理学 2007-05-23 Indrajit Chakrabarty

We investigate Einstein theories of gravity, coupled to a scalar field \vphi and point-like matter, which are characterized by a scalar field-dependent matter coupling function e^{H(\vphi)}. We show that under mild constraints on the form…

广义相对论与量子宇宙学 · 物理学 2014-11-18 M. Cadoni , M. Casula

Extended Theories of Gravity are considered as a new approach for solving the infrared and ultraviolet scale problems of the Standard Theory of Gravity (General Relativity). Observational evidence of gravitational waves and subsequent…

广义相对论与量子宇宙学 · 物理学 2022-02-16 Sourav Roy Chowdhury , Maxim Khlopov

We explore the gravitational waves (GWs) within the framework of the $f(R)$ gravity model represented by $f(R)=R^{1+\delta}/R^\delta_c$ in the weak field approximation. In this scenario, gravitational waves exhibit an additional…

广义相对论与量子宇宙学 · 物理学 2024-01-17 Utkal Keshari Dash , Bal Krishna Yadav , Murli Manohar Verma

Symmetric teleparallel gravity (STG) offers an interesting avenue to formulate a theory of gravitation that relies neither on curvature nor torsion but only on non-metricity Q. Given the growing number of observations of gravitational waves…

广义相对论与量子宇宙学 · 物理学 2020-09-08 Ismail Soudi , Gabriel Farrugia , Viktor Gakis , Jackson Levi Said , Emmanuel N. Saridakis
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