The Layzer-Irvine Equation for Scalar-Tensor Theories: A Test of Modified Gravity N-body Simulations
arXiv:1308.4682 · doi:10.1103/PhysRevD.88.044057
Abstract
The Layzer-Irvine equation describes energy conservation for a pressure less fluid interacting though quasi-Newtonian gravity in an expanding Universe. We here derive a Layzer-Irvine equation for scalar field theories where the scalar field is coupled to the matter fields, and show applications of this equation by applying it to N-body simulations of modified gravity theories. There it can be used as both a dynamical test of the accuracy of the solution and the numerical implementation when solving the equation of motion. We also present an equation that can be used as a new static test for an arbitrary matter distribution. This allows us to test the N- body scalar field solver using a matter distribution which resembles what we actually encounter in numerical simulations.
Version to appear in PRD
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- The Layzer-Irvine equation in theories with non-minimal coupling between matter and curvature
- Perturbation-theory informed integrators for cosmological simulations
- Self-similarity and stable clustering in a family of scale-free cosmologies
- On Scalar Cosmological Perturbations in Non-Minimally Coupled Weyl Connection Gravity
- Testing the Dark Universe through the Layzer-Irvine Equation