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.

arXiv comment15 pages, 1 figure, 3 tables

References in corpus (28)

• The Structure of Cold Dark Matter Halos
• f(R) Theories Of Gravity
• The Confrontation between General Relativity and Experiment
• f(R) theories
• Extra force in $f(R)$ modified theories of gravity
• Dark Energy Dominance and Cosmic Acceleration in First Order Formalism
• 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
• Stationary dark energy: the present universe as a global attractor
• Accelerated expansion from a non-minimal gravitational coupling to matter
• 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
• Mimicking dark matter through a non-minimal gravitational coupling with matter
• Mimicking dark matter in galaxy clusters through a non-minimal gravitational coupling with matter
• The Abell Cluster A586 and the Detection of the Equivalence Principle
• Cosmological perturbations in theories with non-minimal coupling between curvature and matter
• Modified Friedmann Equation from Nonminimally Coupled Theories of Gravity
• Solar System constraints to nonminimally coupled gravity
• The imprint of the interaction between dark sectors in galaxy clusters
• Gemini and Chandra observations of Abell 586, a relaxed strong-lensing cluster
• Testing the interaction of dark energy to dark matter through the analysis of virial relaxation of clusters Abell Clusters A586 and A1689 using realistic density profiles
• Dark matter as a dynamic effect due to a non-minimal gravitational coupling with matter
• Generalizing the Cosmic Energy Equation
• Generalized Layzer-Irvine equation: the role of dark energy perturbations in cosmic structure formation
• The Layzer-Irvine Equation for Scalar-Tensor Theories: A Test of Modified Gravity N-body Simulations

Cited by in corpus (16)

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• Inflation in non-minimal matter-curvature coupling theories
• Dynamical analysis of nonminimal coupled theories
• Nonminimally Coupled Boltzmann Equation I: Foundations
• Jeans Instability in Non-Minimal Matter-Curvature Coupling Gravity
• Nonminimally coupled Weyl gravity
• Dynamical analysis of modified gravity with nonminimal gravitational coupling to matter
• Quantum kinetic theory of Jeans instability in non-minimal matter-curvature coupling gravity
• Cassini and extra force constraints to nonminimally coupled gravity with screening mechanism
• The 1/c expansion of nonminimally coupled curvature-matter gravity model and constraints from planetary precession
• 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
• Testing the Dark Universe through the Layzer-Irvine Equation
• On Scalar Cosmological Perturbations in Non-Minimally Coupled Weyl Connection Gravity