Ricci bi-conformal vector fields on Schwarzschild and Vaidya spacetimes

Articles in Press

Document Type : Original Article

Authors

1 Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran

2 Department of Mathematics, Faculty of Mathematical Sciences and Statistics, Malayer University, Malayer, Iran

Abstract

Vaidya spacetime describes the dynamical collapse of a null fluid under gravity and this spacetime model is capable to cover key characteristics of a astrophysical events such as gravitational wave emission and black hole generation. In this paper, we study existence of a geometric vector field named Ricci bi-conformal vector field in such spacetimes. We completely classify these geometric vector fields on Vaidya and Schwarzschid spacetimes. We show such vector fields are not gradient.

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AUT Journal of Mathematics and Computing

Articles in Press, Accepted Manuscript
Available Online from 20 January 2026

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