Conservative cosmology in scalar–tensor Herglotz f ( R , T ) gravity
Abstract
Abstract The scalar–tensor representation of f ( R , T ) gravity is extended to incorporate the Herglotz variational principle. The field equations are derived in both the geometric and scalar–tensor frameworks. Although the divergence of the energy-momentum tensor in matter-geometry coupling theories is generally nonvanishing, conservation can be achieved through the introduction of the Herglotz vector. The generalized Friedmann equations in scalar–tensor Herglotz f ( R , T ) theory are obtained, and a conservative cosmological model is shown to be consistent with late-time observational data. Comparisons with analogous nonconservative models and with the standard Λ cold dark matter model are also provided.
Fields of Study & Subjects
Cosmology and Gravitation Theories
Noncommutative and Quantum Gravity Theories
Black Holes and Theoretical Physics
Publication details
- Journal / source
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Volume
- 43
- Issue
- 5
- Pages
- 055003–055003
- Publication date
- 24 February 2026