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Looking for static interior solutions of Buchdahl star with $p_r=0, p_t=kρ$ in general relativity and pure Lovelock theories

Published 4 May 2023 in gr-qc | (2305.02768v1)

Abstract: We find static fluid solutions of Einstein and pure Lovelock equations with $p_r=0$, $p_t=k\rho$, which could be possible models for the interior of a Buchdahl-like star. Buchdahl star is a limiting stellar configuration without a horizon whose formation does not need any exotic matter.

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