Investigation of Photon Sphere in Spheroidal Spacetime
Abstract
We consider the occurrence of black hole from the collapsing perfect fluid configuration in the spheroidal spacetime. In this set up, the particular cases of black hole as an end state of continual collapse with exact solutions for the geometric spheroidal parameter K = −2 and K = −7 are explored for the formation of photon sphere. It is found that photon sphere does not exist in both the cases, and the divergence of effective potential at the origin rules out formation of a shadow of the black hole.
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