The Layzer-Irvine equation in theories with non-minimal coupling between matter and curvature

Abstract

We derive the Layzer-Irvine equation for alternative gravitational theories with non-minimal coupling between curvature and matter for an homogeneous and isotropic Universe. As an application, we study the case of Abell 586, a relaxed and spherically symmetric galaxy cluster, assuming some matter density profiles.

15 pages, 1 figure, 3 tables

References in corpus (10)

• The Confrontation between General Relativity and Experiment
• Extra force in $f(R)$ modified theories of gravity
• Dark Energy-Dark Matter Interaction and putative violation of the Equivalence Principle from the Abell Cluster A586
• Nonminimal coupling of perfect fluids to curvature
• Dark energy and dark matter as curvature effects
• Do f(R) theories matter?
• Generalized virial theorem in f(R) gravity
• On the non-minimal gravitational coupling to matter
• Reheating via a generalized non-minimal coupling of curvature to matter
• Generalizing the Cosmic Energy Equation

Cited by in corpus (12)

• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Dynamical analysis of nonminimal coupled theories
• Nonminimally Coupled Boltzmann Equation I: Foundations
• Jeans Instability in Non-Minimal Matter-Curvature Coupling Gravity
• Quantum kinetic theory of Jeans instability in non-minimal matter-curvature coupling gravity
• The 1/c expansion of nonminimally coupled curvature-matter gravity model and constraints from planetary precession
• Cassini and extra force constraints to nonminimally coupled gravity with screening mechanism
• Pressureless stationary solutions in a Newton-Yukawa gravity model
• Theories of gravity with nonminimal matter-curvature coupling and the de Sitter swampland conjectures
• Black Hole Solutions in Non-Minimally Coupled Weyl Connection Gravity
• On Scalar Cosmological Perturbations in Non-Minimally Coupled Weyl Connection Gravity
• Testing the Dark Universe through the Layzer-Irvine Equation