Non-static fluid spheres admitting a conformal Killing vector: Exact solutions

TL;DR

This paper explores exact solutions for non-static, spherically symmetric fluid spheres with conformal symmetries, providing insights into their structure and potential astrophysical applications.

Contribution

It presents a comprehensive study deriving multiple new exact solutions for fluid spheres with conformal Killing vectors, including dissipative and adiabatic cases.

Findings

Multiple families of exact solutions found

Solutions satisfy boundary and physical conditions

Potential applications to astrophysics discussed

Abstract

We carry on a general study on non--static spherically symmetric fluids admitting a conformal Killing vector (CKV). Several families of exact analytical solutions are found for different choices of the CKV, in both, the dissipative and the adiabatic regime. To specify the solutions, besides the fulfillment of the junction conditions on the boundary of the fluid distribution, different conditions are imposed, such as vanishing complexity factor and quasi--homologous evolution. A detailed analysis of the obtained solutions, its prospective applications to astrophysical scenarios, as well as alternative approaches to obtain new solutions, are discussed.