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In order to solve the Tolman-Oppenheimer-Volkoff equations for neutron stars,one routinely uses the equation of states which are computed in the Minkowskispacetime. Using a first-principle approach, it is shown that the equation ofstates which are computed within the curved spacetime of the neutron starsinclude the effect of gravitational time dilation. It arises due to theradially varying interior metric over the length scale of the star andconsequently it leads to a much higher mass limit. As an example, for a givenset of parameters in a $\sigma-\omega$ model of nuclear matter, the maximummass limit is shown to increase from $1.61 M_{\odot}$ to $2.24 M_{\odot}$ dueto the inclusion of gravitational time dilation.

Higher mass limits of neutron stars from the equation of states in curved spacetime