Post-Newtonian Approximation of Teleparallel Gravity Coupled with a Scalar Field

Abstract

We use the parameterized post-Newtonian (PPN) formalism to explore the weak field approximation of teleparallel gravity non-minimally coupling to a scalar field $\varphi$, with arbitrary coupling function $\omega (\varphi )$ and potential $V(\varphi )$. We find that all the PPN parameters are identical to general relativity (GR), which makes this class of theories compatible with the Solar System experiments. This feature also makes the theories quite different from the scalar-tensor theories, which might be subject to stringent constraints on the parameter space, or need some screening mechanisms to pass the Solar System experimental constraints.

15 pages, revtex4; v2: discussions added, Nucl. Phys. B in press; v3: published version

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• Bounce inflation in $f(T)$ Cosmology: A unified inflaton-quintessence field
• Solar System Tests in Modified Teleparallel Gravity
• Scalar-torsion theories of gravity III: analogue of scalar-tensor gravity and conformal invariants
• Scalar-torsion theories of gravity I: general formalism and conformal transformations
• Scalar-torsion theories of gravity II: $L(T,X,Y,\varphi )$ theory
• General relativity as an attractor for scalar-torsion cosmology
• Post-Newtonian limit of Teleparallel Horndeski gravity
• Higgs inflation and teleparallel gravity
• Parameterized post-Newtonian limit of general teleparallel gravity theories
• Post-Newtonian parameter $\gamma$ for multiscalar-tensor gravity with a general potential
• Stability of scalar perturbations in scalar-torsion $f(T,\varphi )$ gravity theories in the presence of a matter fluid
• Post-Newtonian limit of generalized scalar-torsion theories of gravity
• Post-Newtonian limit of scalar-torsion theories of gravity as analogue to scalar-curvature theories
• Symmetron and de Sitter attractor in a teleparallel model of cosmology
• Spherical collapse model and cluster number counts in power law $f(T)$ gravity
• Onset of acceleration in a Universe initially filled by dark and baryonic matters in nonminimally coupled teleparallel model
• Inflation with teleparallelism: Can torsion generate primordial fluctuations without local Lorentz symmetry?
• Unexplored regions in teleparallel $f(T)$ gravity: Sign-changing dark energy density
• Parametrized post-Newtonian limit of the Nieh-Yan modified teleparallel gravity
• Interacting Quintessence in a New Scalar-Torsion Gravity
• Parameterized second post-Newtonian framework with conservation Laws
• Global portraits of nonminimal teleparallel inflation
• Neutron Stars in Scalar Torsion Theories with Nonminimal Coupling