Testing the Dark Universe through the Layzer-Irvine Equation
arXiv:2508.17064 · doi:10.1142/S021773232541007X
Abstract
We review the cosmic generalisation of the virial theorem known as the Layzer-Irvine equation, also independently derived by Dmitriev and Zeldovich. This equation has been studied in the literature for dark matter-dark energy interaction models, as well as in the context of alternative theories of gravity. We discuss results from the previous scenarios and point out future directions.
14 pages, Contribution to the "My Favourite Dark Matter Model" workshop, Açores, Portugal, 14-17 April 2025. Version to match the published one, minor typos corrected
References in corpus (41)
- The Structure of Cold Dark Matter Halos
- f(R) Theories Of Gravity
- Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
- The Confrontation between General Relativity and Experiment
- f(R) theories
- Extended Theories of Gravity
- Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
- Generalized Chaplygin Gas, Accelerated Expansion and Dark Energy-Matter Unification
- Extra force in modified theories of gravity
- Dark Energy-Dark Matter Interaction and putative violation of the Equivalence Principle from the Abell Cluster A586
- Dark Energy and Modified Gravity in Degenerate Higher-Order Scalar-Tensor (DHOST) theories: a review
- Metric-Palatini gravity unifying local constraints and late-time cosmic acceleration
- Signature of the interaction between dark energy and dark matter in galaxy clusters
- Generalized virial theorem in f(R) gravity
- Generalized hybrid metric-Palatini gravity
- Inflation, dark matter and dark energy in the string landscape
- Signature of the interaction between dark energy and dark matter in observations
- The Abell Cluster A586 and the Detection of the Equivalence Principle
- On the dynamics of perfect fluids in non-minimally coupled gravity
- Constraints on interacting dark energy models through cosmic chronometers and Gaussian process
- Triple unification of inflation, dark matter, and dark energy using a single field
- The imprint of the interaction between dark sectors in galaxy clusters
- Triple unification of inflation, dark energy, and dark matter in two-scalar-field cosmology
- Gemini and Chandra observations of Abell 586, a relaxed strong-lensing cluster
- Unification of inflation, dark energy, and dark matter within the Salam-Sezgin cosmological model
- Constraining interacting dark energy models with the halo concentration-mass relation
- Nonminimally Coupled Boltzmann Equation I: Foundations
- Evolution of isolated overdensities as a control on cosmological N body simulations
- The Layzer-Irvine equation in theories with non-minimal coupling between matter and curvature
- Nonminimally coupled Weyl gravity
- Jeans Instability in Non-Minimal Matter-Curvature Coupling Gravity
- Weighing Milky Way and Andromeda in an expanding CDM Universe: Decreasing the Local Group mass
- 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
- Using numerical methods from nonlocal optics to simulate the dynamics of N-body systems in alternative theories of gravity
- Quantum kinetic theory of Jeans instability in non-minimal matter-curvature coupling gravity
- 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
- Interacting dark sector: Lagrangian formulation based on two canonical scalar fields
- Perturbation-theory informed integrators for cosmological simulations
- Constraining Violations of the Weak Equivalence Principle in the Dark Sector