The momentum constraint equation in Parameterised Post-Newtonian Cosmology
arXiv:2111.10860 · doi:10.1088/1361-6382/ac5fc3
Abstract
We derive a theory-independent version of the momentum constraint equation for use in cosmology, as a part of the Parameterised Post-Newtonian Cosmology (PPNC) framework. Our equations are constructed by adapting the corresponding quantities from formalisms devised for testing and constraining gravity in isolated astrophysical systems, thereby extending the domain of applicability of these approaches up to cosmological scales. Our parameterised equations include both scalar and divergenceless-vector gravitational potentials, and can be applied to both conservative and non-conservative theories of gravity. They can also be used to describe the gravitational fields of both non-linear structures and super-horizon perturbations. We apply the parameterised equations we propose to quintessence models of dark energy, as well as to scalar-tensor and vector-tensor theories of gravity. We find them to work well in each case. Our equations are highly compact, and are intended to be useful for constraining gravity in a theory-independent fashion in cosmology.
arXiv comment26 pages, 2 figures, v2. Matches version published in CQG
References in corpus (34)
- The Confrontation between General Relativity and Experiment
- Tests of general relativity with GW150914
- Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space
- The fundamental constants and their variation: observational status and theoretical motivations
- Gravity Probe B: Final Results of a Space Experiment to Test General Relativity
- Symmetron Fields: Screening Long-Range Forces Through Local Symmetry Restoration
- Cosmological perturbations
- Testing General Relativity in Cosmology
- A Parameterized Post-Friedmann Framework for Modified Gravity
- KiDS-450 + 2dFLenS: Cosmological parameter constraints from weak gravitational lensing tomography and overlapping redshift-space galaxy clustering
- xPert: Computer algebra for metric perturbation theory
- On the Growth of Perturbations as a Test of Dark Energy
- The Parameterized Post-Friedmann Framework for Theories of Modified Gravity: Concepts, Formalism and Examples
- Parametrized Post-Friedmann Signatures of Acceleration in the CMB
- xPand: An algorithm for perturbing homogeneous cosmologies
- New tests of local Lorentz invariance of gravity with small-eccentricity binary pulsars
- Towards a fully consistent parameterization of modified gravity
- The Parameterised Post-Newtonian Limit of Fourth-Order Theories of Gravity
- A sub-horizon framework for probing the relationship between the cosmological matter distribution and metric perturbations
- Consistent cosmological modifications to the Einstein equations
- The missing link: a nonlinear post-Friedmann framework for small and large scales
- New limits on the violation of local position invariance of gravity
- Parameterized Post-Newtonian Cosmology
- Cosmology Without Averaging
- The fully non-linear post-Friedmann frame-dragging vector potential: Magnitude and time evolution from N-body simulations
- Post-Newtonian Cosmological Modelling
- A Rosetta Stone for Parameterized Tests of Gravity
- The Parametrized Post-Newtonian-Vainshteinian Formalism
- Relativistic Perihelion Precession of Orbits of Venus and the Earth
- Cosmological backreaction in the presence of radiation and a cosmological constant
- Viable Gauge Choices in Cosmologies with Non-Linear Structures
- Parametrizing theories of gravity on large and small scales in cosmology
- Perturbation theory for cosmologies with non-linear structure
- xPPN: An implementation of the parametrized post-Newtonian formalism using xAct for Mathematica