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

Department of Mathematics, North Eastern Hill University, Shillong, Meghalaya 793022, India

Mathematics Division, Department of Basic Sciences and Social Sciences, North Eastern Hill University, Shillong, Meghalaya 793022, India

E-mail Address: jdutta29@gmail.com

E-mail Address: jibitesh@nehu.ac.in

Corresponding author.

Visiting Associate at Inter University Centre for Astronomy and Astrophysics, Pune 411 007, India

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Ujjal Debnath

Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah-711 103, India

E-mail Address: ujjaldebnath@gmail.com

E-mail Address: ujjal@associates.iucaa.in

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, and

Wompherdeiki Khyllep

Department of Mathematics, North Eastern Hill University, Shillong, Meghalaya 793022, India

Department of Mathematics, St. Anthony’s College, Shillong, Meghalaya 793001, India

E-mail Address: sjwomkhyllep@gmail.com

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https://doi.org/10.1142/S0219887819501731Cited by:2 (Source: Crossref)

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 $O m$ 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.

Keywords:

AMSC: 83F05, 81T30, 81V10, 28D20, 80Axx, 83Bxx

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