Ricci bi-conformal vector fields on Schwarzschild and Vaidya spacetimes

Ramandi, Ghodratallah Fasihi; Zohrehvand, Mosayeb; Azami, Shahroud

doi:10.22060/ajmc.2025.23906.1328

Ricci bi-conformal vector fields on Schwarzschild and Vaidya spacetimes

Articles in Press

Document Type : Original Article

Authors

Ghodratallah Fasihi Ramandi ¹

Mosayeb Zohrehvand ²

Shahroud Azami ¹

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

10.22060/ajmc.2025.23906.1328

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.

Keywords

Spacetime

Ricci bi-conformal vector field

Schwarzschild metric

Subjects