Complete Classification of Four-Dimensional Black Hole and Membrane Solutions in IR-modified Horava Gravity.

N. E. GRANDI; CARLOS ARGUELLES; MU-IN PARK

JOURNAL OF HIGH ENERGY PHYSICS - (Online)

Springer

Lugar: Trieste; Año: 2015 vol. 5 p. 1 - 22

1029-8479

Horava gravity has been proposed as a renormalizable, higher-derivative gravitywithout ghost problems, by considering different scaling dimensions for space and time. In the non-relativistic higher-derivative generalization of Einstein gravity, the meaning and physical properties of black hole and membrane space-times are quite different from the conventional ones. Here, we study the singularity and horizon structures of such geometries in IR-modified Horava gravity, where the so-called ?detailed balance? condition is softly brokenin IR.We classify all the viable static solutions without naked singularities and study its close connection to non-singular cosmology solutions. We find that, in addition to the usual point-like singularity at r = 0, there exists a ?surface-like? curvature singularity at finite r = rS which is the cutting edge of the real-valued space-time. The degree of divergence of such singularities is milder than those of general relativity, and the Hawking temperatureof the horizons diverges when they coincide with the singularities. As a byproduct we find that, in addition to the usual ?asymptotic limit?, a consistent flow of coupling constants, that we called ?GR flow limit?, is needed in order to recover general relativity in the IR.