Conserved quantities in expanding Gödel cosmology
Abstract
At linear order we study perturbations to a Gödel background spacetime which includes expansion in addition to rotation. We investigate the transformation behavior of these perturbations under gauge transformations and construct gauge-invariant quantities. Using the perturbed energy conservation equation we find that there are conserved quantities in expanding Gödel cosmology, in particular a spatial metric trace perturbation, ζ SMTP , which is conserved on large scales for pressureless dust. We finally extend our discussion to a perfect fluid matter content to also obtain conserved quantities in this context.
Fields of Study & Subjects
Cosmology and Gravitation Theories
Noncommutative and Quantum Gravity Theories
Black Holes and Theoretical Physics
Publication details
- Journal / source
- Physical review. D/Physical review. D.
- Volume
- 113
- Issue
- 4
- Publication date
- 16 January 2026
- Language
- EN