Post-Newtonian parameters from alternative theories of gravity
type: Item
instance of: scholarly article
title: Post-Newtonian parameters from alternative theories of gravity
zbMATH Open document ID: 1086.83028
author: Gianluca Allemandi
author: M. Francaviglia
author: Matteo Luca Ruggiero
author: Angelo Tartaglia
published in: General Relativity and Gravitation
publication date: 2006-01-13T00:00:00Z
full work available at URL: https://arxiv.org/abs/gr-qc/0506123
review text: Theories of gravity representing alternatives of the Theory of General relativity (GRT) have been studied for different reasons since the foundation of GRT. To test the theoretical consistence of these theories with observational data it is necessary to examine and to fit the standard tests for GRT, in particular, solar system observations and tests on galactic scales. To this end, it is inevitable to go beyond the PPN formalism developed for metric theories to test them on the solar system scale. In this paper, for a special class of theories, the authors provide a general framework (in the Palatini formalism) to test theories at the solar system level and possibly at the galactic level (the latter point is announced to be considered in a forthcoming paper). The authors focus their analysis on those theories of gravity, for which the purely geometric part of the Lagrangian is given by any real analytic function \(L(R)\) of the Ricci scalar \(R\), where \(R\) is formed from a metric and a torsionless connection given independently of the metric. After discussing the corresponding field equations and some vacuum solution, for a subclass of these Lagrangians containing the Ricci scalar as an item, the linear approximation of the field equation is written and discussed for the cases that a flat and an (anti-) de-Sitter space-time background are perturbed. It is shown that both in the vacuum and the matter case the deviation from GRT are controlled by parameters that provide the Post-Newtonian corrections which prove to be in good agreement with solar system experiments.
reviewed by: Horst-Heino von Borzeszkowski
Mathematics Subject Classification ID: 83D05
Mathematics Subject Classification ID: 83C25
zbMATH DE Number: 2246981
zbMATH Keywords: Alternative theory of gravity
zbMATH Keywords: observational tests
zbMATH Keywords: Post-Newtonian parameters
MaRDI profile type: Publication
OpenAlex ID: W3100938828
arXiv ID: gr-qc/0506123
cites work: A new type of isotropic cosmological models without singularity
cites work: Can higher order curvature theories explain rotation curves of galaxies?
cites work: The Large Scale Structure of Space-Time
cites work: Q4826107
DOI: 10.1007/S10714-005-0195-8
description: scientific article