Black holes and stars in the Horava-Lifshitz theory with the projectability condition

@article{Greenwald2010BlackHA,
  title={Black holes and stars in the Horava-Lifshitz theory with the projectability condition},
  author={Jared Greenwald and Antonios Papazoglou and Anzhong Wang},
  journal={Physical Review D},
  year={2010},
  volume={81},
  pages={084046}
}
We systematically study spherically symmetric static spacetimes filled with a fluid in the Horava-Lifshitz theory of gravity with the projectability condition, but without the detailed balance. We establish that when the spacetime is spatially Ricci flat the unique vacuum solution is the de Sitter Schwarzshcild solution, while when the spacetime has a nonzero constant curvature, there exist two different vacuum solutions; one is an (Einstein) static universe, and the other is a new spacetime… 

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References

SHOWING 1-10 OF 120 REFERENCES

Static spherically symmetric solutions to modified Hořava-Lifshitz gravity with a projectability condition

In this paper we seek static spherically symmetric solutions of Horava-Lifshitz-like gravity with the projectability condition. We consider the most general form of gravity action without detailed

Testing Horava-Lifshitz gravity using thin accretion disk properties

Recently, a renormalizable gravity theory with higher spatial derivatives in four dimensions was proposed by Horava. The theory reduces to Einstein gravity with a nonvanishing cosmological constant

Cosmological perturbations in Horava-Lifshitz theory without detailed balance

In the Horava-Lifshitz theory of quantum gravity, two conditions - detailed balance and projectability - are usually assumed. The breaking of projectability simplifies the theory, but it leads to

Topological Black Holes in Horava-Lifshitz Gravity

We find topological (charged) black holes whose horizon has an arbitrary constant scalar curvature 2k in Horcava-Lifshitz theory. Without loss of generality, one may take k=1, 0, and -1. The black

Black Holes in asymptotically Lifshitz spacetimes with arbitrary critical exponent

Recently, a class of gravitational backgrounds in 3 + 1 dimensions have been proposed as holographic duals to a Lifshitz theory describing critical phenomena in 2 + 1 dimensions with critical

Black holes in asymptotically Lifshitz spacetime

A model of 3+1 dimensional gravity with negative cosmological constant coupled to abelian gauge fields has been proposed as a gravity dual for Lifshitz like critical phenomena in 2+1 dimensions. The

Stellar center is dynamical in Horava-Lifshitz gravity

In Ho\ifmmode \check{r}\else \v{r}\fi{}ava-Lifshitz gravity, regularity of a solution requires smoothness of not only the spacetime geometry but also the foliation. As a result, the regularity
...