Charged black holes on DGP brane

Abstract

We consider charged black holes localized on a three-brane in the DGP model. With a spherically symmetric metric ansatz on the brane and assuming a Z 2 -symmetry across the brane, we find two types of solutions which correspond to the so-called regular and accelerated branches in the DGP model. When the charge of the black hole vanishes, our solutions agree with the Schwarzschild solutions obtained by Gabadadze and Iglesias.

Braneworld black holes with ModMax electrodynamics on the brane

“…This explanation underscores the sustained interest in this area, as evident in recent works [3][4][5][6][7][8]. Notably, investigations have also yielded charged black hole solutions within the DGP model [9][10][11].…”

Charged Rotating Black Holes on DGP Brane

“…This case corresponds to the U(r) = −2 case of Ref. [17], in which it was shown to belong to the accelerated branch.…”

“…Integrating both sides of the field equation (2) along the y direction and taking the limit of y = 0 on the both sides of the brane we arrive at the Israel's junction condition [20] on the Z 2 symmetric brane in the relation [17] …”

“…The second set (17) corresponds to a non-flat(de-Sitter) case, in which the conditions (17) in terms of the metric function H(r, θ)…”

“…Recently, motivated by the above suggestion, an exact solution of charged black holes on the brane in the DGP model was obtained in [17]. However, up to now no solution of charged rotating black holes on the DGP brane is obtained.…”