Complete Classification of Four-Dimensional Black Hole and Membrane Solutions in IR-modified Hořava 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-derivativegravity without ghost problems, by considering different scaling dimensions forspace and time. In the non-relativistic higher-derivative generalization ofEinstein gravity, the meaning and physical properties of black hole andmembrane space-times are quite different from the conventional ones. Here, westudy the singularity and horizon structures of such geometries in IR-modifiedHo{r}ava gravity, where the so-called "detailed balance" condition is softlybroken in IR. We classify all the viable static solutions without nakedsingularities and study its close connection to non-singular cosmologysolutions. We find that, in addition to the usual point-like singularity atr=0, there exists a "surface-like" curvature singularity at finite r=rSwhich is the cutting edge of the real-valued space-time. The degree ofdivergence of such singularities is milder than those of general relativity,and the Hawking temperature of the horizons diverges when they coincide withthe singularities. As a byproduct we find that, in addition to the usual"asymptotic limit," a consistent flow of coupling constants, that we called "GRflow limit," is needed in order to recover general relativity in the IR.