Thermodynamic and observational constraints of DGP braneworld in the light of nonlinear electrodynamics

Abstract

This paper deals with the study of the effect of Maxwell’s nonlinear electrodynamics (NLED) in the framework of Dvali–Gabadadze–Porrati (DGP) brane gravity for Friedmann–Robertson–Walker (FRW) Universe. Recently, the Hawking temperature and Bekenstein entropy have been modified for the validity of the thermodynamical laws at the event horizon. In this context, we test the validity of the generalized second law of thermodynamics (GSLT) at the apparent and event horizons. Here, the entropy of the horizon has been extracted for the following two cases: (i) by assuming the first law of thermodynamics (ii) by using modified entropy-area relation. In the case of apparent horizon, we consider the usual Hawking temperature. On the other hand, in the case of event horizon, we consider the modified Hawking temperature. Next, we discuss the geometrical parameters (deceleration, statefinder parameters and [Formula: see text] diagnostic) to explore the expansion of the accelerating Universe. From the general expression of GSLT, we find that for the apparent horizon, the GSLT always holds for any choice of model parameters in both the branches of the DGP model. However, the null energy condition must satisfy for the plausibility of GSLT at the event horizon. Finally, we use the recent observational data from Stern datasets, Baryon Acoustic Oscillations (BAO), Cosmic Microwave Background (CMB) and Type Ia Supernovae (SNIa) observations to hold down the model parameters. Our analysis reveals that the DGP braneworld is free from classical instability issues and also cannot be ruled out by present thermodynamical and observational constraints.

Braneworld black holes with ModMax electrodynamics on the brane

“…This facet elucidates the observed self-accelerating nature of the Universe within the DGP brane model. 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 Taub-NUT-de Sitter spacetime in DGP braneworld and its thermodynamics*

“…In other words, the observed self accelerating universe is well understood in the DGP brane model. This explains the steady interest in this subject, as seen from several recent works [10][11][12][13][14][15][16]. In particular, some charged black hole solutions in the DGP model have been reported [17][18][19].…”

“…The last equation can be understood as the Taub-NUT-de Sitter spacetime [20] with the cosmological constant . Obviously, this is a straightforward generalization of the solution from the flat case obeying the conditions in (11) to the non-flat case satisfying Eq. ( 12).…”

“…The last equation is the well known Taub-NUT metric [20], which solves the vacuum Einstein equation. However, it is clear that the Taub-NUT solution solves constraint (11) because vacuum Einstein requires all the components of the Ricci tensor to be zero and obviously leads to the vanishing Ricci scalar. For the non-flat case with a set of constraint equations given in (12), we can employ the Kerr-Schild metric as in (13) with the replacement, that is,…”