Charged Taub-NUT-de Sitter spacetime in DGP braneworld and its thermodynamics*

Abstract

We study a charged Taub-NUT spacetime solution in the DGP brane. We show that the Reissner-Nordstrom-Taub-NUT-de Sitter solution of Einstein-Maxwell gravity solves the corresponding equations of motion, where the cosmological constant is related to the cross-over scale in the DGP model. Following the approach by Teitelboim in discussing the thermodynamics of de Sitter spacetime and the proposal by Wu et al. for a conserved charge associated to the NUT parameter, we obtained the generalized Smarr mass formula and the first law of thermodynamics of the spacetime.

Braneworld black holes with ModMax electrodynamics on the brane

“…As one would expect, similar to the ModMax black hole studied in [23], it suppresses the effective charge of the black hole due to its definite positive value. By setting ν to be vanished, one recovers the charged black hole with the tidal parameter discussed in [15] in the RS-II case, and the charged black hole in the DGP brane worked out in [22] for the DGP case. For future work, we would like to investigate the compatibility of Euler-Heisenberg electrodynamics on the 3-brane (both RS-II and DGP cases).…”

“…Now let us solve the the effective Einstein equations reviewed in the previous section by following the approach presented in [15,21] for the RS-II case, and [9][10][11]22] for the DGP brane.…”

“…Essentially, the matter energy-momentum tensor considered on the brane is described by the ModMax Lagrangian. We employ solutionfinding methodologies outlined in [15,21] for the RS-II case and [22] for the DGP scenario. Notably, we obtain significant outcomes; the metric and vector solutions take on a straightforward generalization of those found with the consideration of standard Maxwell electrodynamics.…”