Birkhoff's theorem and perturbations in \(f(R)\) theories
type: Item
instance of: scholarly article
zbMATH Open document ID: 1247.83014
author: Gonzalo J. Olmo
published in: Annalen der Physik
publication date: 2012-08-21T00:00:00Z
full work available at URL: https://arxiv.org/abs/1207.4812
Mathematics Subject Classification ID: 83C05
Mathematics Subject Classification ID: 83D05
Mathematics Subject Classification ID: 83C15
Mathematics Subject Classification ID: 83C57
zbMATH DE Number: 6069643
zbMATH Keywords: Birkhoff's theorem
zbMATH Keywords: perturbations
zbMATH Keywords: fourth-order gravity
MaRDI profile type: Publication
OpenAlex ID: W2034998622
arXiv ID: 1207.4812
cites work: On the discovery of Birkhoff's theorem
cites work: Mach's Principle and a Relativistic Theory of Gravitation
cites work: \(f(R)\) theories
cites work: f ( R ) theories of gravity
cites work: Extended theories of gravity and their cosmological and astrophysical applications
cites work: INTRODUCTION TO MODIFIED GRAVITY AND GRAVITATIONAL ALTERNATIVE FOR DARK ENERGY
cites work: Scalar-tensor representation of \(f(R)\) gravity and Birkhoff's theorem
DOI: 10.1002/ANDP.201200721
title: Birkhoff's theorem and perturbations in \(f(R)\) theories
review text: Birkhoff's theorem states that under certain circumstances, spherically symmetric solutions of Einstein's field equation possess a fourth isometry. The present paper deals with the question, why an analogous theorem is not analogously valid in fourth-order gravity, especially in \(f(R)\) theories. Further it is discussed, whether in a perturbative sense, a partial validity can be found.
reviewed by: Hans-Jürgen Schmidt
description: scientific article; zbMATH DE number 6069643