https://doi.org/10.1140/epjc/s10052-025-14775-w
Regular Article - Theoretical Physics
Generalized Vaidya spacetime in Cotton and conformal Killing theories
1
Department of Mathematics, Faculty of Sciences, Bilkent University, 06800, Ankara, Turkey
2
Department of Aeronautical Engineering, University of Turkish Aeronautical Association, 06790, Ankara, Turkey
Received:
6
August
2025
Accepted:
8
September
2025
Published online:
19
September
2025
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.
© The Author(s) 2025
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