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Yang-Mills gravity with translational gauge group T(4) in flat space-time implies a simple self-coupling of gravitons and a truly conserved energy-momentum tensor. Its consistency with experiments crucially depends on an interesting…

广义相对论与量子宇宙学 · 物理学 2011-04-20 Jong-Ping Hsu

The possibility that the strength of gravitational interactions might slowly increase with distance, is explored by formulating a set of effective field equations, which incorporate the gravitational, vacuum-polarization induced, running of…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Herbert W. Hamber , Ruth M. Williams

I derive the basic relativistic corrections to the equations of motion of test particles and light rays in the field of a source with active mass $m$, including the phantom mass density that any such source generates when a modification of…

广义相对论与量子宇宙学 · 物理学 2013-11-28 Ll. Bel

We reconsider the gravitational wave spectrum induced by scalar perturbations in spatially flat Friedmann-Lema\^itre-Robertson-Walker spacetimes, focusing on the matter- and $\Lambda$-dominated epochs. During matter domination, sub-horizon…

宇宙学与河外天体物理 · 物理学 2023-03-31 Marvin Sipp , Bjoern Malte Schaefer

In this paper we derive the Modified Friedmann equation in the Palatini formulation of $R^2$ gravity. Then we use it to discuss the problem of whether in Palatini formulation a $R^2$ term can drive an inflation. We show that the Palatini…

天体物理学 · 物理学 2009-11-10 Xinhe Meng , Peng Wang

Considering some modified Newtonian potentials and the Hubble law in writing the total energy of a test mass located at the edge of a flat Friedmann-Robertson-Walker universe, we obtain several modified Friedmann equations. Interestingly…

综合物理 · 物理学 2019-04-16 M. Kord Zangeneh , H. Moradpour , N. Sadeghnezhad

We review the attractor properties of the simplest chaotic model of inflation, in which a minimally coupled scalar field is endowed with a quadratic scalar potential. The equations of motion in a flat Friedmann-Robertson-Walker universe are…

天体物理学 · 物理学 2009-06-23 L. Arturo Urena-Lopez , Mayra J. Reyes-Ibarra

In this paper by deriving the Modified Friedmann equation in the Palatini formulation of $R^2$ gravity, first we discuss the problem of whether in Palatini formulation an additional $R^2$ term in Einstein's General Relativity action can…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Xin He Meng , Peng Wang

Feynman's i-epsilon prescription for quantum field theoretic propagators has a quite natural reinterpretation in terms of a slight complex deformation of the Minkowski spacetime metric. Though originally a strictly flat-space result, once…

广义相对论与量子宇宙学 · 物理学 2022-09-07 Matt Visser

We extend the fully non-linear and exact cosmological perturbation equations in a Friedmann background universe to include the background curvature. The perturbation equations are presented in a gauge ready form, so any temporal gauge…

宇宙学与河外天体物理 · 物理学 2015-06-19 Hyerim Noh

Quantum cosmological models are commonly described by means of semiclassical approximations in which a smooth evolution of the expectation values of elementary geometry operators replaces the classical and singular dynamics. The advantage…

广义相对论与量子宇宙学 · 物理学 2021-04-28 Przemysław Małkiewicz , Artur Miroszewski

On a large class of asymptotically flat spacetimes which includes radiative perturbations of Minkowski space, we define a distinguished global Feynman propagator for massive Klein-Gordon fields by means of the microlocal approach to…

广义相对论与量子宇宙学 · 物理学 2025-10-24 Mikhail Molodyk , András Vasy

Post-Newtonian theory was instrumental in conducting the critical experimental tests of general relativity and in building the astronomical ephemerides of celestial bodies in the solar system with an unparalleled precision. The cornerstone…

广义相对论与量子宇宙学 · 物理学 2012-09-06 Sergei Kopeikin

A special-relativistic scalar-vector theory of gravitation is presented which mimics an important class of solutions of Einstein's gravitational field equations. The theory includes solutions equivalent to Schwarzschild, Kerr,…

广义相对论与量子宇宙学 · 物理学 2007-05-23 H. Goenner , M. Leclerc

We propose a model for modified gravity that meets the conditions of viability. The model has stable constant curvature solution and for an special case contains flat space time solution. The model also leads to matter stability under small…

广义相对论与量子宇宙学 · 物理学 2015-06-22 L. N. Granda

The post-Newtonian (PN) perturbative framework has been successful in understanding the slow-motion, weak field limit of Einstein's theory of gravity on solar system scales, and for isolated astrophysical systems. The parameterized…

广义相对论与量子宇宙学 · 物理学 2017-10-11 Viraj A. A. Sanghai

In earlier work we showed that a frame dependent effective action motivated by the postulates of three-space general coordinate invariance and Weyl scaling invariance exactly mimics a cosmological constant in Robertson-Walker (RW)…

广义相对论与量子宇宙学 · 物理学 2018-01-10 Stephen L. Adler

The universal character of the gravitational interaction provided by the equivalence principle motivates a geometrical description of gravity. The standard formulation of General Relativity \`a la Einstein attributes gravity to the…

广义相对论与量子宇宙学 · 物理学 2021-04-13 Jose Beltrán Jiménez , Lavinia Heisenberg , Tomi Sebastian Koivisto , Simon Pekar

We present the first steps needed for an analysis of the perturbations that occur in the cosmology associated with the conformal gravity theory. We discuss the implications of conformal invariance for perturbative coordinate gauge choices,…

广义相对论与量子宇宙学 · 物理学 2013-05-30 Philip D. Mannheim

We present a simple argument to explain why the field equations of the Friedmann-Robertson-Walker metric are equivalent to those of Newtonian cosmology. By passing to the infinite limit of a family of conformally rescaled FRW metrics in…

广义相对论与量子宇宙学 · 物理学 2014-08-11 Clive G. Wells