6533b827fe1ef96bd128672d

RESEARCH PRODUCT

Conformal transformations and weak field limit of scalar-tensor gravity

Achille StabileSalvatore CapozzielloAn. Stabile

subject

Earth and Planetary Astrophysics (astro-ph.EP)PhysicsNuclear and High Energy PhysicsConformal field theoryScalar (physics)FOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)Invariant (physics)Astrophysics - Astrophysics of GalaxiesGeneral Relativity and Quantum CosmologyGravitationConformal gravityGeneral Relativity and Quantum CosmologyParameterized post-Newtonian formalismConformal symmetryAstrophysics of Galaxies (astro-ph.GA)f(R) gravityAstrophysics - Earth and Planetary AstrophysicsMathematical physics

description

The weak field limit of scalar tensor theories of gravity is discussed in view of conformal transformations. Specifically, we consider how physical quantities, like gravitational potentials derived in the Newtonian approximation for the same scalar-tensor theory, behave in the Jordan and in the Einstein frame. The approach allows to discriminate features that are invariant under conformal transformations and gives contributions in the debate of selecting the true physical frame. As a particular example, the case of $f(R)$ gravity is considered.

https://doi.org/10.1103/physrevd.88.124011