Generalized Vaidya Spacetime in Cotton and Conformal Killing Theories

TL;DR

This paper introduces a generalized Vaidya solution within Cotton and Conformal Killing gravity theories, incorporating geometric correction terms that extend classical radiating spacetime models in General Relativity.

Contribution

It presents the first derivation of Vaidya-type solutions in Cotton and Conformal Killing gravity, including geometric correction terms beyond matter sources.

Findings

Generalized Vaidya solutions with geometric corrections derived

Extended models provide new insights into radiating spacetimes

Solutions applicable to third-rank gravity theories

Abstract

We demonstrate that the non-vacuum field equations of Cotton gravity and Conformal Killing gravity admit a generalized class of Vaidya-type solutions. In particular, beyond the standard induced term associated with the matter source, the generalized metric incorporates two additional correction terms of purely geometric origin, arising from the unique structure of these theories. This extended solution generalizes the classical Vaidya spacetime in General Relativity and offers new insights into the dynamics of radiating spacetimes within the framework of these third-rank gravity theories.