Gravastars in $f(\mathbb{T},\mathcal{T})$ gravity

Abstract

We propose a stellar model under the $f(\mathbb{T},\mathcal{T})$ gravity following Mazur-Mottola's conjecture [Mazur (2001), Mazur (2004)] known as gravastar which is generally believed as a viable alternative to black hole. The gravastar consists of three regions, viz., (I) Interior region, (II) Intermediate shell region, and (III) Exterior region. The pressure within the interior core region is assumed to be equal to the constant negative matter-energy density which provides a constant repulsive force over the thin shell region. The shell is assumed to be made up of fluid of ultrarelativistic plasma and following the Zel'dovich's conjecture of stiff fluid [Zeldovich (1972)] it is also assumed that the pressure which is directly proportional to the matter-energy density according to Zel'dovich's conjecture, does cancel the repulsive force exerted by the interior region. The exterior region is completely vacuum and it can be described by the Schwarzschild solution. Under all these specifications we find out a set of exact and singularity-free solutions of the gravastar presenting several physically valid features within the framework of alternative gravity, namely $f(\mathbb{T},\mathcal{T})$ gravity [Harko (2014)], where the part of the gravitational Lagrangian in the corresponding action is taken as an arbitrary function of torsion scalar $\mathbb{T}$ and the trace of the energy-momentum tensor $\mathcal{T}$.

19 pages, 5 figures

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Cited by in corpus (15)

• Exploring physical properties of minimally deformed strange star model and constraints on maximum mass limit in $f(\mathcal{Q})$ gravity
• Coincident f(Q) gravity: black holes, regular black holes and black bounces
• Study of Gravastars in Rastall Gravity
• Stable and self consistent charged gravastar model within the framework of $f(R,T)$ gravity
• Compact stellar models in modified gravity
• Stable Charged Gravastar model in Cylindrically Symmetric Space-time
• Rip cosmologies, Wormhole Solutions and Big Trip in the $f(T,\mathcal{T})$ theory of gravity
• First-order formalism for thick branes in $f(T,\mathcal{T})$ gravity
• Charged gravastar model in Rastall theory of gravity
• Kuchowicz gravastars in the braneworld formalism
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