Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2003-06-09
Prog.Theor.Phys.110:441-456,2003
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
typos corrected, reference added, version to be published in Progress of Theoretical Physics
Scientific paper
10.1143/PTP.110.441
It is known that Newton's law of gravity holds asymptotically on a flat "brane" embedded in an anti-de Sitter "bulk" ; this was shown not only when gravity in the bulk is described by Einstein's theory but also in Einstein "Lanczos Lovelock Gauss-Bonnet"'s theory. We give here the expressions for the corrections to Newton's potential in both theories, in analytic form and valid for all distances. We find that in Einstein's theory the transition from the 1/r behaviour at small r to the 1/r^2 one at large r is quite slow. In the Einstein Gauss-Bonnet case on the other hand, we find that the correction to Newton's potential can be small for all r. Hence, Einstein Gauss-Bonnet equations in the bulk (rather than simply Einstein's) induce on the brane a better approximation to Newton's law.
Deruelle Nathalie
Sasaki Misao
No associations
LandOfFree
Newton's law on an Einstein "Gauss-Bonnet" brane does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Newton's law on an Einstein "Gauss-Bonnet" brane, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Newton's law on an Einstein "Gauss-Bonnet" brane will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-546361