#### Alladi Ramakrishnan Hall

#### Study on charged strange stars in f(R,T) gravity

#### Debabrata Deb

##### Indian Institute of Engineering Science and Technology, Shibpur

*We investigate the effects of the modified f(R, T) gravity on the charged strange quark stars for a standard choice of f(R, T) gravity theory. Those types of stars are supposed to be made of strange quark matter (SQM) whose distribution is governed by the phenomenological MIT bag EOS and it is assumed that the present charged stellar system is described by a specific form of charge distribution. We derive the values of the unknown parameters by matching the interior spacetime to the exterior Reissner-NordstrÖm metric followed by the appropriate choice of the values of the physical parameters of the stellar model. Our study reveals that besides SQM, a new kind of matter distribution originates due to the interaction between the matter and the extra geometric term, while the modification of the Tolman-Oppenheimer-Volkoff (TOV) equation invokes the presence of a new force. The accumulation of the electric charge distribution reaches its maximum at the surface, and we also predicted values of the electric charge and electric field at the surface. To examine the physical validity of our solutions, we perform tests of the energy conditions, stability against the equilibrium of the forces, the adiabatic index, etc., and find that the proposed f(R, T) model survives all these critical tests. Therefore, our model can describe the non-singular charged strange stars and justify the supermassive compact stellar objects having their masses beyond the maximum mass limit for the compact stars in the standard scenario. Our model also supports the existence of several exotic astrophysical objects like super-Chandrasekhar white dwarfs, massive pulsars, and even magnetars, which remain unexplained in the framework of General Relativity (GR).*

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