Maeda-Dadhich solutions as real black holes

Four-dimensional static Schwarzschild-like solutions obtained in [H. Maeda and N. Dadhich, Phys. Rev. D 74, 021501(R) (2006).H. Maeda and N. Dadhich, Phys. Rev. D 75, 044007 (2007).N. Dadhich and H. Maeda, Int. J. Mod. Phys. D 17, 513 (2008).A. Molina and N. Dadhich, Int. J. Mod. Phys. D 18, 599 (2009).] in the frames of the Einstein-Gauss-Bonnet gravity at the Kaluza-Klein split are analyzed. In such models matter is created by auxiliary dimensions. The main goal of our work is to check that these solutions are physically sensible, and to examine their characteristics, which could be observable. A noncontradictive definition of a total mass (energy) is given. Study of the perturbed equations demonstrates a possibility of their stability under linear perturbations. Depending on the combination of the parameters, black hole-like objects with one or two horizons or naked singularity are described in detail. Stable orbits of test particles around these black holes are presented. We show the exotic thermodynamical properties of the solution, in which the Hawking evaporation law has the behavior opposite to the usual one in general relativity. Unfortunately, current astronomical data do not allow one to distinguish special observable evidences, which we find for the solutions under consideration, from usual Schwarzschild ones.

Figure 1

$f_{-}$ functions for different masses.

Figure 2

Dadhich-Molina solution phase diagram.

Figure 3

Critical charge-mass dependence for different solutions.

Figure 4

Temperature-mass dependence for Dadhich-Molina black hole.