Parameterised Post-Newtonian Expansion in Screened Regions

Abstract

The parameterised post-Newtonian (PPN) formalism has enabled stringent tests of static weak-field gravity in a theory-independent manner. Here we incorporate screening mechanisms of modified gravity theories into the framework by introducing an effective gravitational coupling and defining the PPN parameters as functions of position. To determine these functions we develop a general method for efficiently performing the post-Newtonian expansion in screened regimes. For illustration, we derive all the PPN functions for a cubic galileon and a chameleon model. We also analyse the Shapiro time delay effect for these two models and find no deviations from General Relativity insofar as the signal path and the perturbing mass reside in a screened region of space.

arXiv comment30 pages, 1 table, minor typos corrected

References in corpus (11)

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• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space
• Symmetron Fields: Screening Long-Range Forces Through Local Symmetry Restoration
• Dark Energy vs. Modified Gravity
• f(R) Gravity and Chameleon Theories
• No-Go Theorems for Generalized Chameleon Field Theories
• Parameterized post-Newtonian limit of Horndeski's gravity theory
• Classifying Linearly Shielded Modified Gravity Models in Effective Field Theory
• Solar-system tests of the relativistic gravity
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Cited by in corpus (12)

• Testing General Relativity in Cosmology
• Cosmology with the Laser Interferometer Space Antenna
• New Horizons for Fundamental Physics with LISA
• $N$-body simulations for parametrised modified gravity
• Inherently stable effective field theory for dark energy and modified gravity
• Parametrizations for tests of gravity
• Parameterised post-Newtonian formalism for the effective field theory of dark energy via screened reconstructed Horndeski theories
• The Parameterized Post-Newtonian-Vainshteinian formalism for the Galileon field
• The effect of screening mechanisms on black hole binary inspiral waveforms
• Screening and degenerate kinetic self-acceleration from the nonlinear freedom of reconstructed Horndeski theories
• Two-body problem in theories with kinetic screening
• PPN meets EFT of dark energy: Post-Newtonian approximation in higher-order scalar-tensor theories