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Cosmological fluids in the equivalence between Rastall and Einstein gravity

Javier Chagoya, J. C. López–Domínguez, C. Ortiz

2023Classical and Quantum Gravity12 citationsDOIOpen Access PDF

Abstract

Abstract Rastall gravity is a modified gravity proposal that incorporates a non-conserved energy momentum tensor (EMT). We study the equivalence between Rastall gravity and general relativity, analyzing its consequences for an EMT of dark matter and dark energy. We find that the translation between Rastall and Einstein interpretations modifies the equation of state for each component. For instance, cold dark matter can translate into warm dark matter. If the EMT components are allowed to interact, the translation also changes the type of interaction between the components.

Topics & Concepts

PhysicsGeneral relativityDark energyEinsteinMathematical physicsEquation of stateEquivalence (formal languages)Tensor (intrinsic definition)f(R) gravityDark matterGravitationTheoretical physicsClassical mechanicsCosmologyAstrophysicsQuantum mechanicsGeometryQuantum gravityPhilosophyLinguisticsMathematicsQuantumCosmology and Gravitation TheoriesBlack Holes and Theoretical PhysicsDark Matter and Cosmic Phenomena
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