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We find an {\it exact} pp--gravitational wave solution of the fourth order gravity field equations. Outside the (delta--like) source this {\it not} a vacuum solution of General Relativity. It represents the contribution of the massive,…

广义相对论与量子宇宙学 · 物理学 2011-09-09 Manuela Campanelli , Carlos O. Lousto

We present new numerical algorithms for the coupled Einstein-perfect fluid system in axisymmetry. Our framework uses a foliation based on a family of light cones, emanating from a regular center, and terminating at future null infinity.…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Florian Siebel , Jose A. Font , Ewald Mueller , Philippos Papadopoulos

In this paper, we have studied Bianchi type I space-time in the presence of domain walls in the context of $f(G)$ theory of gravitation. Field equations are solved by using the special form of deceleration parameter. It is also assumed that…

广义相对论与量子宇宙学 · 物理学 2023-05-05 S. P. Hatkar , S. P. Saraogi , S. D. Katore

By imposing natural geometrical and kinematical conditions on a conformal Killing vector in Bianchi I spacetime, we show that a class of axisymmetric metrics admits a conformal motion. This class contains new exact solutions of Einstein's…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Roy Maartens , Conrad Mellin

One of the predictions from simple inflation models is a stochastic background of gravitational waves (or literally what is called the Primordial Gravitational Waves (\textbf{PGW})) with a nearly scale--invariant spectrum. In this work, we…

广义相对论与量子宇宙学 · 物理学 2022-07-19 Taimur Mohammadi , Behrooz Malekolkalami

This paper is devoted to investigate the exact solutions of Bianchi types I and V spacetimes in the context of f(R, T) gravity [1]. For this purpose, we found two exact solutions in each case by using assumption of constant deceleration…

广义相对论与量子宇宙学 · 物理学 2012-07-04 M. Farasat Shamir , Adil Jhangeer , Akhlaq Ahmad Bhatti

A new approach to gravitational gauge-invariant perturbation theory begins from the fourth-order Einstein-Ricci system, a hyperbolic formulation of gravity for arbitrary lapse and shift whose centerpiece is a wave equation for curvature. In…

广义相对论与量子宇宙学 · 物理学 2011-04-21 Arlen Anderson , Andrew M. Abrahams , Chris Lea

The effect of gravitational wave of cosmological wavelength on the gravitational lensing is investigated. When the source, deflector, and observer are aligned in a highly symmetric configuration, an Einstein ring will be observed by the…

广义相对论与量子宇宙学 · 物理学 2021-11-04 Wenshuai Liu

We consider the Bianchi I geometry coupled to several species of comoving barotropic perfect fluids with a linear equation of state in the context of general relativity. The solution of the dynamics can be reduced to a quadrature, which can…

广义相对论与量子宇宙学 · 物理学 2024-10-29 David Brizuela , Sara F. Uria

The future detection projects of gravitational waves are expected to have the sensitivity of detecting the primordial gravitational waves, which may be useful to get new insight into the very early universe. It is essential to analyze the…

宇宙学与河外天体物理 · 物理学 2019-04-01 Tadashi Sasaki , Hisao Suzuki

We use a dynamical systems approach to investigate Bianchi type I and II universes in quadratic theories of gravity. Due to the complicated nature of the equations of motion we focus on the stability of exact solutions and find that there…

广义相对论与量子宇宙学 · 物理学 2008-11-26 John D. Barrow , Sigbjorn Hervik

The Einstein-Bianchi system uses symmetric and traceless tensors to reformulate Einstein's original field equations. However, preserving these algebraic constraints simultaneously remains a challenge for numerical methods. This paper…

数值分析 · 数学 2025-08-07 Yuyang Guo , Jun Hu , Ting Lin

We numerically investigate the propagation of plane gravitational waves in the form of an initial boundary value problem with de Sitter initial data. The full non-linear Einstein equations with positive cosmological constant $\lambda$ are…

广义相对论与量子宇宙学 · 物理学 2021-05-06 Jörg Frauendiener , Jonathan Hakata , Chris Stevens

The observation of GW150914 indicated a new independent measurement of the luminosity distance of a gravitational wave event. In this paper, we constrain the anisotropy of the Universe by using gravitational wave events. We simulate…

广义相对论与量子宇宙学 · 物理学 2019-08-19 Zhi-Chao Zhao , Hai-Nan Lin , Zhe Chang

Exact solutions exist which describe impulsive gravitational waves propagating in Minkowski, de Sitter, or anti-de Sitter universes. These may be either nonexpanding or expanding. Both cases in each background are reviewed here from a…

广义相对论与量子宇宙学 · 物理学 2016-11-09 J. Podolsky

Gravitational waves from oscillating neutron stars in axial symmetry are studied performing numerical simulations in full general relativity. Neutron stars are modeled by a polytropic equation of state for simplicity. A gauge-invariant wave…

天体物理学 · 物理学 2009-11-10 Masaru Shibata , Yuichirou Sekiguchi

Solving Einstein's equations precisely for strong-field gravitational systems is essential to determining the full physics content of gravitational wave detections. Without these solutions it is not possible to infer precise values for…

广义相对论与量子宇宙学 · 物理学 2019-09-04 Robert A. Eisenstein

We study the tensorial modes of the two-fluid model, where one of this fluids has an equation of state $p = - \rho/3$ (variable cosmological constant, cosmic string fluid, texture) or $p = - \rho$ (cosmological constant), while the other…

广义相对论与量子宇宙学 · 物理学 2007-05-23 J. C. Fabris , S. V. B. Goncalves

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

This chapter provides an overview of gravitational wave (GW) astronomy, providing background material that underpins the other, more specialized chapters in this handbook. It starts with a brief historical review of the development of GW…

广义相对论与量子宇宙学 · 物理学 2022-07-20 Nigel T. Bishop