A family of Finslerian space-time obeying MIT-bag equation of state

Author Name(s):

Ksh. Newton Singh, M. V. Mandke, Anil K. Aria

Abstract:

In this article, a family of Finslerian space times describing stellar configurations obeying MIT-bag equation of state (EoS) is presented. Here we have adopted a new method of solving the field equation by assuming one of the metric potential along with the MIT-bag EoS and solve for the other metric potential. We have also assumed an anisotropic matter distribution which described physically possible matters since the EoS parameter  and  are less that unity. These solutions obey causality ( ) and stability condition ( ). These solutions are well-behaved at the interior except at the centre  since it contains singularity. The properties of the stellar configurations described by these solutions are solely depends on parameter . For small values of  corresponds to softer EoSs that yields less massive and smaller configurations, however, larger values of  gives more denser, massive and bigger configurations where the EoSs are stiffer. It has been observed that the anisotropy is more for smaller values of  than bigger values. Above all, these solutions satisfy all the energy conditions implying that these can represent physical matters. Two models of well-known compact stars are also presented and indeed the calculated values of masses and radii are well match with the observed ones.

 Keywords: Modified theory of gravity, Finsler geometry, Compact stars, Equation of state, Anisotropy

 Please cite this article as:

Ksh. Newton Singh, M. V. Mandke, Anil K. Aria (2021). A family of Finslerian space-time obeying MIT-bag equation of state . International Journal of Recent Research and Applied Studies, 8, 4(1), 1-12.


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