Gravitational Collapse of Self-similar Perfect fluid with Scalar function

Sanjay B. Sarwe; Gulshan O. Makkad

Gravitational Collapse of Self-similar Perfect fluid with Scalar function

General Relativity and Quantum Cosmology 2021-03-09 v3 Mathematical Physics math.MP

Authors: Sanjay B. Sarwe , Gulshan O. Makkad

Abstract

The self-similar spherically symmetric perfect fluid space-time with scalar function incorporating linear equation of state is studied. The investigation of gravitational collapse conditions on the space-time determines that scalar function has an imaginary form $\phi(X) = i \; \alpha_o \; \varphi(X)$ , $\varphi(X)$ being a non-zero real valued function of self-similar variable $X$ . The gravitational collapse of cloud ends into the formation of black hole or naked singularity according to the choice of physically reasonable initial data relative to the linear equation of state.

Keywords

gravitational collapse self-similar spacetime perfect fluid scalar function linear equation of state black hole naked singularity

Cite

@article{arxiv.2011.07474,
  title  = {Gravitational Collapse of Self-similar Perfect fluid with Scalar function},
  author = {Sanjay B. Sarwe and Gulshan O. Makkad},
  journal= {arXiv preprint arXiv:2011.07474},
  year   = {2021}
}

Comments

There is an error of negative sign in G_tr field equation (9), thereby scalar function remains real, contrary to the conclusion

Gravitational Collapse of Self-similar Perfect fluid with Scalar function

Abstract

Keywords

Cite

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