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We obtain the static spherically symmetric solutions of a class of gravitational models whose additions to the General Relativity (GR) action forbid Ricci-flat, in particular, Schwarzschild geometries. These theories are selected to…

广义相对论与量子宇宙学 · 物理学 2008-11-07 S. Deser , O. Sarioglu , B. Tekin

A certain class of exact solutions of Einstein Maxwell spacetime in general relativity is discussed which demonstrates at the level of theory that, when certain parametric resonance condition is met, the interaction of electromagnetic field…

广义相对论与量子宇宙学 · 物理学 2023-10-24 Ruodi Yan , Yun Kau Lau

We discuss an approach to gravitational waves based on Geometric Algebra and Gauge Theory Gravity. After a brief introduction to Geometric Algebra (GA), we consider Gauge Theory Gravity, which uses symmetries expressed within the GA of flat…

广义相对论与量子宇宙学 · 物理学 2019-12-13 Anthony N. Lasenby

We apply in a simple model derived from quadratic $\mathcal{R}^2$ gravity the technique of Dyson-Schwinger equations to solve for its corresponding quantum theory. Particularly, we solve the classical equations of motion to get a solution…

高能物理 - 理论 · 物理学 2025-12-29 Sayantan Choudhury , Marco Frasca , Anish Ghoshal

A non-perturbative and background-independent quantum formulation of quadratic gravity is provided. A canonical quantization procedure introduced in previous works, named after Dirac and Pauli, is here applied to quadratic gravity to…

高能物理 - 理论 · 物理学 2024-08-05 Alberto Salvio

We consider the gravitational radiation in conformal gravity theory. We perturb the metric from flat Mikowski space and obtain the wave equation after introducing the appropriate transformation for perturbation. We derive the effective…

广义相对论与量子宇宙学 · 物理学 2018-08-28 Rong-Jia Yang

We investigate perturbations of a class of spherically symmetric solutions in massive gravity and bi-gravity. The background equations of motion for the particular class of solutions we are interested in reduce to a set of the Einstein…

广义相对论与量子宇宙学 · 物理学 2015-09-08 Tsutomu Kobayashi , Masaru Siino , Masahide Yamaguchi , Daisuke Yoshida

We investigate sufficient conditions under which cubic gravity is healthy and viable at the perturbation level. We perform a detailed analysis of the scalar and tensor perturbations. We impose the requirement that the two scalar potentials,…

广义相对论与量子宇宙学 · 物理学 2024-02-19 Petros Asimakis , Spyros Basilakos , Emmanuel N. Saridakis

This dissertation consists of four parts. In Part I, we briefly review fundamental theories of gravity, performed experimental tests, and gravitational waves. The framework and the methods that we use in our calculations are discussed in…

广义相对论与量子宇宙学 · 物理学 2013-08-27 Saeed Mirshekari

We study the gravitational waves in spacetimes of arbitrary dimension. They generalize the pp-waves and the Kundt waves, obtained earlier in four dimensions. Explicit solutions of the Einstein and Einstein-Maxwell equations are derived for…

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

The behaviour of a "test" electromagnetic field in the background of an exact gravitational plane wave is investigated in the framework of Einstein's general relativity. We have expressed the general solution to the de Rham equations as a…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Enrico Montanari , Mirco Calura

We investigate gravitational waveforms from the inspiral phase of compact binary systems within the framework of quadratic gravity and map their deviations from general relativity into the parameterized post-Einstein (PPE) formalism to…

广义相对论与量子宇宙学 · 物理学 2026-01-19 Matheus F. S. Alves , L. G. Medeiros , Davi C. Rodrigues

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

In this paper, we study the properties of gravitational waves in the scalar-tensor-vector gravity theory. The polarizations of the gravitational waves are investigated by analyzing the relative motion of the test particles. It is found that…

广义相对论与量子宇宙学 · 物理学 2019-12-19 Yunqi Liu , Wei-Liang Qian , Yungui Gong , Bin Wang

In this article, the energy density of plane gravitational wave is studied by using Einstein and M{\o}ller's prescription of energy-momentum pseudotensors. The linearly polarized plan gravitational wave solution of Einstein field equation,…

广义相对论与量子宇宙学 · 物理学 2022-05-04 I-Ching Yang

The quadratic gravity constraints are reformulated in terms of the Newman-Penrose-like quantities. In such a frame language, the field equations represent a linear algebraic system for the Ricci tensor components. In principle, a procedure…

广义相对论与量子宇宙学 · 物理学 2023-02-08 Robert Svarc , Alena Pravdova , David Miskovsky

We study exact vacuum solutions to quadratic gravity (QG) of the Weyl types N and III. We show that in an arbitrary dimension all Einstein spacetimes of the Weyl type N with an appropriately chosen effective cosmological constant $\Lambda$…

广义相对论与量子宇宙学 · 物理学 2011-08-12 Tomáš Málek , Vojtěch Pravda

We investigate a linearized tensor-tensor theory of gravity with torsion and a perturbed torsion wave solution is discovered in background Minkowski spacetime with zero torsion. Furthermore, gauge transformations of any perturbed tensor…

广义相对论与量子宇宙学 · 物理学 2008-07-02 Chih-Hung Wang

We consider the most general Quadratic Metric-Affine Gravity setup in the presence of generic matter sources with non-vanishing hypermomentum. The gravitational action consists of all $17$ quadratic invariants (both parity even and odd) in…

广义相对论与量子宇宙学 · 物理学 2022-05-18 Damianos Iosifidis

We show that certain solutions to the linearized Einstein equation can---by the application of a particular type of linearized gauge transformation---be straightforwardly transformed into solutions of the exact Einstein equation. In cases…

广义相对论与量子宇宙学 · 物理学 2017-04-14 Abraham I. Harte , Justin Vines