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Einstein field equations with a cosmological constant are approximated to the second order in the perturbation to a flat background metric. The final result is a set of Einstein-Maxwell-Proca equations for gravity in the weak field regime.…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Clovis Jacinto de Matos

We explore black hole solutions and some of its physical properties in Einstein's theory in 4D, modified by a cubic gravity term and in the presence of non-linear electrodynamics. In the context of Effective Field Theories (EFT) and under…

广义相对论与量子宇宙学 · 物理学 2024-02-22 Gustavo Gutierrez-Cano , Gustavo Niz

Within the framework of the effective field theory approach to the post-Newtonian approximation to General Relativity, we report the so far missing G^3 and G^4 sectors of the conservative two body dynamics at fourth perturbative order for…

广义相对论与量子宇宙学 · 物理学 2019-08-06 Stefano Foffa , Riccardo Sturani

We show that that four dimensional conformal gravity plus a simple Neumann boundary condition can be used to get the semiclassical (or tree level) wavefunction of the universe of four dimensional asymptotically de-Sitter or Euclidean…

高能物理 - 理论 · 物理学 2011-06-10 Juan Maldacena

We construct the quartic version of generalized quasi-topological gravity, which was recently constructed to cubic order in arXiv: 1703.01631. This class of theories includes Lovelock gravity and a known form of quartic quasi-topological…

高能物理 - 理论 · 物理学 2017-08-23 Jamil Ahmed , Robie A. Hennigar , Robert B. Mann , Mozhgan Mir

To be observed and analyzed by the network of current gravitational wave detectors (LIGO, Virgo, KAGRA), and in anticipation of future third generation ground based (Einstein Telescope, Cosmic Explorer) and space borne (LISA) detectors,…

广义相对论与量子宇宙学 · 物理学 2024-07-16 Luc Blanchet

The present thesis aims at an extension of the canonical formalism of Arnowitt, Deser, and Misner from self-gravitating point-masses to objects with spin. This would allow interesting applications, e.g., within the post-Newtonian (PN)…

广义相对论与量子宇宙学 · 物理学 2011-06-22 Jan Steinhoff

Numerical simulations of 15 orbits of an equal-mass binary black hole system are presented. Gravitational waveforms from these simulations, covering more than 30 cycles and ending about 1.5 cycles before merger, are compared with those from…

We study the accuracy of the post-Newtonian (PN) approximation and its formal region of validity, by investigating its optimal asymptotic expansion for the quasi-circular, adiabatic inspiral of a point particle into a Schwarzschild black…

广义相对论与量子宇宙学 · 物理学 2011-05-12 Nicolas Yunes , Emanuele Berti

First post-Newtonian (1PN) hydrostatic equations for an irrotational fluid which have been recently derived are solved for an incompressible star. The 1PN configurations are expressed as a deformation of the Newtonian irrotational Riemann…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Keisuke Taniguchi , Hideki Asada , Masaru Shibata

We describe a post-Minkowskii approximation of general relativity as a power series expansion in G, Newton's gravitational constant. Material sources are hidden behind boundaries, and only the vacuum Einstein equations are considered. An…

广义相对论与量子宇宙学 · 物理学 2010-05-12 Steven Detweiler , Lee H. Brown

We make a comparison between results from numerically generated, quasi-equilibrium configurations of compact binary systems of black holes in close orbits, and results from the post-Newtonian approximation. The post-Newtonian results are…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Thierry Mora , Clifford M. Will

The article presents the conservative dynamics of gravitationally interacting two-point-mass systems up to the eight order in the inverse power of the velocity of light, i.e.\ 4th post-Newtonian (4PN) order, and up to quadratic order in…

广义相对论与量子宇宙学 · 物理学 2013-05-30 Piotr Jaranowski , Gerhard Schäfer

The post-Newtonian approximation is a method for solving Einstein's field equations for physical systems in which motions are slow compared to the speed of light and where gravitational fields are weak. Yet it has proven to be remarkably…

广义相对论与量子宇宙学 · 物理学 2015-05-27 Clifford M. Will

We discuss various aspects of the post-Newtonian approximation in general relativity. After presenting the foundation based on the Newtonian limit, we use the (3+1) formalism to formulate the post-Newtonian approximation for the perfect…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Hideki Asada , Toshifumi Futamase

The harmonic formulation of Einstein's field equations is considered, where the gauge conditions are introduced as dynamical constraints. The difference between the fully constrained approach (used in analytical approximations) and the free…

广义相对论与量子宇宙学 · 物理学 2009-11-13 C. Bona , Dana Alic

We compare the cosmological first-order post-Newtonian (1PN) approximation with the relativistic cosmological linear perturbation theory in a zero-pressure medium with the cosmological constant. We compare equations and solutions in several…

宇宙学与河外天体物理 · 物理学 2015-06-05 Hyerim Noh , Jai-chan Hwang

We construct exact black hole solutions to Einstein gravity with nonlinear electrodynamic field. In these solutions, there are in general four parameters. They are physical mass, electric charge, cosmological constant and the coupling…

广义相对论与量子宇宙学 · 物理学 2020-05-27 Shuang Yu , Changjun Gao

We discuss Newtonian and the post-Newtonian limits of Fourth Order Gravity Theories pointing out, in details, their resemblances and differences with respect to General Relativity. Particular emphasis is placed on the exact solutions and…

广义相对论与量子宇宙学 · 物理学 2010-09-20 Salvatore Capozziello , Arturo Stabile

We bring together two popular formalisms which generically parameterise deviations from General Relativity on astrophysical and cosmological scales, namely the parameterised post-Newtonian (PPN) formalism and the effective field theory…

广义相对论与量子宇宙学 · 物理学 2021-01-29 Cyril Renevey , Joe Kennedy , Lucas Lombriser