Black hole solutions in warped DGP brane world

Abstract

Using the effective gravitational field equations in the warped DGP brane-world scenario (Maeda et al. in Phys. Rev. D 68:024033, 2003), we study spherically symmetric vacuum (static black hole) solutions on the brane. Working with a conformally flat bulk, we have obtained an exact Schwarzschild-de Sitter black hole solution similar to the standard solution in the presence of a cosmological constant, which confirms the idea that an extra term in the effective vacuum field equations on the warped DGP brane can play the role of a positive cosmological constant.

The effect of the GUP on massive vector and scalar particles tunneling from a warped DGP gravity black hole

“…As it is solved the field equations and derived the black hole solution in 4-D brane world [72], the black hole solution on the brane is found by:…”

“…Theories of gravity in more than four dimensions have recently attracted much interest for example, the black hole solution recently found in a warped DGP brane model [72]. Inspired by this work, we aim to extend the quantum tunneling method to massive vector and scalar particles under the influence of the GUP effects from a warped DGP brane-model black hole (WDGPBBH).…”

“…This paper is organized as follows. In Section 2, we review the warped DGP brane-model solution published recently [72]. In Section 3, we review the GUP-corrected Lagrangian of massive vector fields and solve the GUP-modified Proca equation [46] to find the corrected Hawking temperature of the warped DGP black hole.…”