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Jebsen-Birkhoff theorem in alternative gravity

Jebsen-Birkhoff theorem in alternative gravity We discuss the validity, or lack thereof, of the Jebsen-Birkhoff theorem in scalar-tensor theories by generalizing it and regarding the Brans-Dicke-like scalar as effective matter. Both the Jordan and Einstein frames are discussed and an apparent contradiction between static spherical solutions of scalar-tensor gravity and Hawking’s theorem on Brans-Dicke black holes is clarified. The results are applied to metric and Palatini f ( R ) gravity. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Jebsen-Birkhoff theorem in alternative gravity

Physical Review D , Volume 81 (4) – Feb 15, 2010
10 pages

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References (101)

Publisher
American Physical Society (APS)
Copyright
Copyright © 2010 The American Physical Society
ISSN
1550-2368
DOI
10.1103/PhysRevD.81.044002
Publisher site
See Article on Publisher Site

Abstract

We discuss the validity, or lack thereof, of the Jebsen-Birkhoff theorem in scalar-tensor theories by generalizing it and regarding the Brans-Dicke-like scalar as effective matter. Both the Jordan and Einstein frames are discussed and an apparent contradiction between static spherical solutions of scalar-tensor gravity and Hawking’s theorem on Brans-Dicke black holes is clarified. The results are applied to metric and Palatini f ( R ) gravity.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Feb 15, 2010

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