Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-10-20
Phys.Rev.D82:124058,2010
Physics
High Energy Physics
High Energy Physics - Theory
References added
Scientific paper
10.1103/PhysRevD.82.124058
Non-projectable Ho\v{r}ava gravity for a spherically symmetric configuration with $\lambda=1$ exhibits an infinite set of solutions parametrized by a generic function $g^{2}(r)$ for the radial component of the shift vector. In the IR limit the infinite set of solutions corresponds to the invariance of General Relativity under a spacetime reparametrization. In general, not being a coordinate transformation, the symmetry in the action responsible for the infinite set of solutions does not have a clear physical interpretation. Indeed it is broken by the matter term in the action. We study the behavior of the solutions for generic values of the parameter $g^{2}(r)$.
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