Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-08-20
Proc.Roy.Soc.Lond.A Math.Phys.Eng.Sci.467:1390-1407,2011
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
9 pages, 4 figures. V2: minor changes; accepted for publication in Proceedings of the Royal Society A
Scientific paper
10.1098/rspa.2010.0477
Recently, a renormalizable gravity theory with higher spatial derivatives in four dimensions was proposed by Ho\v{r}ava. The theory reduces to Einstein gravity with a non-vanishing cosmological constant in IR, but it has improved UV behaviors. The spherically symmetric black hole solutions for an arbitrary cosmological constant, which represent the generalization of the standard Schwarzschild-(A)dS solution, has also been obtained for the Ho\v{r}ava-Lifshitz theory. The exact asymptotically flat Schwarzschild type solution of the gravitational field equations in Ho\v{r}ava gravity contains a quadratic increasing term, as well as the square root of a fourth order polynomial in the radial coordinate, and it depends on one arbitrary integration constant. The IR modified Ho\v{r}ava gravity seems to be consistent with the current observational data, but in order to test its viability more observational constraints are necessary. In the present paper we consider the possibility of observationally testing Ho\v{r}ava gravity at the scale of the Solar System, by considering the classical tests of general relativity (perihelion precession of the planet Mercury, deflection of light by the Sun and the radar echo delay) for the spherically symmetric black hole solution of Ho\v{r}ava-Lifshitz gravity. All these gravitational effects can be fully explained in the framework of the vacuum solution of the gravity. Moreover, the study of the classical general relativistic tests also constrain the free parameter of the solution.
Harko Tiberiu
Kovács Zoltán
Lobo Francisco S. N.
No associations
LandOfFree
Solar system tests of Hořava-Lifshitz gravity 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 Solar system tests of Hořava-Lifshitz gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Solar system tests of Hořava-Lifshitz gravity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-526029