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

TL;DR

This paper explores a charged Taub-NUT-de Sitter spacetime within the DGP braneworld, deriving its thermodynamic properties and establishing a connection between the cosmological constant and the DGP model's cross-over scale.

Contribution

It demonstrates that the Reissner-Nordstrom-Taub-NUT-de Sitter solution satisfies the equations of motion in the DGP framework and derives its thermodynamic laws.

Findings

Reissner-Nordstrom-Taub-NUT-de Sitter solution solves DGP equations

Generalized Smarr formula established for the spacetime

First law of thermodynamics derived for the spacetime

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.