A covariant approach to parameterised cosmological perturbations

Abstract

We present a covariant formulation for constructing general quadratic actions for cosmological perturbations, invariant under a given set of gauge symmetries for a given field content. This approach allows us to analyse scalar, vector and tensor perturbations at the same time in a straightforward manner. We apply the procedure to diffeomorphism invariant single-tensor, scalar-tensor and vector-tensor theories and show explicitly the full covariant form of the quadratic actions in such cases, in addition to the actions determining the evolution of vector and tensor perturbations. We also discuss the role of the symmetry of the background in identifying the set of cosmologically relevant free parameters describing these classes of theories, including calculating the relevant free parameters for an axisymmetric Bianchi-I vacuum universe.

arXiv commentUpdated to match published version

References in corpus (41)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Modified Gravity and Cosmology
• The Confrontation between General Relativity and Experiment
• Quasinormal modes of black holes and black branes
• Testing General Relativity with Present and Future Astrophysical Observations
• Generalization of the Fierz-Pauli Action
• Covariant Galileon
• Gravity with a dynamical preferred frame
• Cosmology and fundamental physics with the Euclid satellite
• Healthy theories beyond Horndeski
• The Effective Field Theory of Dark Energy
• Black Hole Spectroscopy: Testing General Relativity through Gravitational Wave Observations
• Maximal freedom at minimum cost: linear large-scale structure in general modifications of gravity
• Essential Building Blocks of Dark Energy
• Extended Scalar-Tensor Theories of Gravity
• Generalization of the Proca Action
• Dark Energy or Modified Gravity? An Effective Field Theory Approach
• Modifying gravity with the Aether: an alternative to Dark Matter
• Relativistic cosmology and large-scale structure
• xTras: a field-theory inspired xAct package for Mathematica
• The Effective Theory of Quintessence: the w<-1 Side Unveiled
• Gravitational Wave Tests of General Relativity with the Parameterized Post-Einsteinian Framework
• Testing the black hole "no-hair" hypothesis
• Effective Field Theory of Cosmic Acceleration: an implementation in CAMB
• A unifying description of dark energy
• Cosmology in generalized Proca theories
• The Parameterized Post-Friedmann Framework for Theories of Modified Gravity: Concepts, Formalism and Examples
• Black hole perturbation in the most general scalar-tensor theory with second-order field equations I: The odd-parity sector
• Black hole perturbation in the most general scalar-tensor theory with second-order field equations II: the even-parity sector
• Effective gravitational couplings for cosmological perturbations in generalized Proca theories
• Effective action approach to cosmological perturbations in dark energy and modified gravity
• Towards a fully consistent parameterization of modified gravity
• Constraints on deviations from $\Lambda$CDM within Horndeski gravity
• Observational constraints on generalized Proca theories
• Effective Gravitational Wave Stress-energy Tensor in Alternative Theories of Gravity
• A general theory of linear cosmological perturbations: scalar-tensor and vector-tensor theories
• A Parametrized post-Einsteinian Framework for Gravitational Wave Bursts
• Cosmology in beyond-generalized Proca theories
• A Rosetta Stone for Parameterized Tests of Gravity
• A general theory of linear cosmological perturbations: bimetric theories
• The mode solution of the wave equation in Kasner spacetimes and redshift

Cited by in corpus (5)

• General theories of linear gravitational perturbations to a Schwarzschild Black Hole
• A general theory of linear cosmological perturbations: stability conditions, the quasistatic limit and dynamics
• Chiral Gravitational Waves in Palatini Chern-Simons
• Cosmologically viable generalized Einstein-Aether theories
• Cosmological perturbations in generalised dark Lagrangians