Abstract
In the theory of General Relativity, gravity is described by a metric which couples minimally to the fields representing matter. We consider here its “veiled” versions where the metric is conformally related to the original one and hence is no longer minimally coupled to the matter variables.We show on simple examples that observational predictions are nonetheless exactly the same as in General Relativity, with the interpretation of this “Weyl” rescaling “`a la Dicke”, that is, as a spacetime dependence of the inertial mass of the matter constituents.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A. De Felice and S. Tsujikawa, Living Rev. Rel. 13, 3 (2010) [arXiv:1002.4928 [gr-qc]].
E. J. Copeland, M. Sami and S. Tsujikawa, Int. J. Mod. Phys. D 15, 1753 (2006) [arXiv:hep-th/0603057].
Y. Fujii and K. Maeda, “The scalar-tensor theory of gravitation,” Cambridge, USA: Univ. Pr. (2003) 240 p
T. Damour and G. Esposito-Farese, Class. Quant. Grav. 9, 2093 (1992).
V. Faraoni, E. Gunzig and P. Nardone, Fund. Cosmic Phys. 20, 121 (1999) [arXiv:gr-qc/9811047].
R. H. Dicke, Phys. Rev. 125 (1962) 2163.
E. E. Flanagan, Class. Quant. Grav. 21, 3817 (2004) [arXiv:gr-qc/0403063].
R. Catena, M. Pietroni and L. Scarabello, Phys. Rev. D 76, 084039 (2007) [arXiv:astro-ph/0604492].
R. Catena, M. Pietroni and L. Scarabello, J. Phys. A 40, 6883 (2007) [arXiv:hep-th/0610292].
V. Faraoni and S. Nadeau, Phys. Rev. D 75, 023501 (2007) [arXiv:gr-qc/0612075].
C. Brans and R.H. Dicke, Phys. Rev. 124 (1961) 925.
M. P. Dabrowski, T. Denkiewicz and D. Blaschke, Annalen Phys. 16, 237 (2007) [arXiv:hep-th/0507068].
N. Deruelle, M. Sasaki and Y. Sendouda, Phys. Rev. D 77, 124024 (2008) [arXiv:0803.2742 [gr-qc]].
T. Damour, in “Three Hundred Years of Gravitation”, eds. S. W. Hawking and W. Israel, 128–198 (Cambridge University Press, 1987).
S. Capozziello, P. Martin-Moruno and C. Rubano, Phys. Lett. B 689, 117 (2010) [arXiv:1003.5394 [gr-qc]].
N. D. Birell and P. C. W. Davies, “Quantum field theory in curved space”, (Cambridge University Press, 1982).
D. Giulini, arXiv:gr-qc/0611100.
K. S. Thorne and J. B. Hartle, Phys. Rev. D 31, 1815 (1984).
S. W. Hawking, Commun. Math. Phys. 25, 167 (1972).
M. A. Scheel, S. L. Shapiro and S. A. Teukolsky, Phys. Rev. D 51, 4236 (1995) [arXiv:gr-qc/9411026].
S. E. Gralla, Phys. Rev. D 81, 084060 (2010) [arXiv:1002.5045 [gr-qc]].
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Deruelle, N., Sasaki, M. (2011). Conformal Equivalence in Classical Gravity: the Example of “Veiled” General Relativity. In: Odintsov, S., Sáez-Gómez, D., Xambó-Descamps, S. (eds) Cosmology, Quantum Vacuum and Zeta Functions. Springer Proceedings in Physics, vol 137. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19760-4_23
Download citation
DOI: https://doi.org/10.1007/978-3-642-19760-4_23
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-19759-8
Online ISBN: 978-3-642-19760-4
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)