Equivalence principle violation at finite temperature in scalar-tensor gravity

Abstract

We analyze possible violations of the Equivalence Principle in scalar-tensor gravity at finite temperature $T.$ Before we present an approach where the Equivalence Principle violation is achieved within the framework of Quantum Field Theory. After, we rely on an alternative approach first proposed by Gasperini, which leads to the same outcome obtained in the framework of Quantum Field Theory (one-loop corrections) at finite $T$. Finally, we exhibit the application of the above formalism both to a generic diagonal metric, cast in spherical coordinates, and to the Brans-Dicke theory. In the last case, we show that it is possible to put a significant constraint on the free parameter of the theory by means of experimental bounds on the Equivalence Principle.

arXiv comment12 pages

References in corpus (29)

• Extended Theories of Gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• f(T) teleparallel gravity and cosmology
• 1/R gravity and Scalar-Tensor Gravity
• Equivalence Principle Implications of Modified Gravity Models
• Quantum test of the equivalence principle for atoms in superpositions of internal energy eigenstates
• GUP parameter from quantum corrections to the Newtonian potential
• Classical properties of non-local, ghost- and singularity-free gravity
• Testing Alternative Theories of Gravity using LISA
• Exercices de style: a homotopy theory for set theory, I
• Hawking radiation, Unruh radiation and the equivalence principle
• Neutrino coupling to cosmological background: A review on gravitational Baryo/Leptogenesis
• Probing Quantum Aspects of Gravity
• Probing Models of Extended Gravity using Gravity Probe B and LARES experiments
• Towards nonsingular rotating compact object in ghost-free infinite derivative gravity
• Neutrino Oscillations in Brans-Dicke Theory of Gravity
• Non-thermal signature of the Unruh effect in field mixing
• The Unruh effect for mixing neutrinos
• Casimir effect in Post-Newtonian Gravity with Lorentz-violation
• Cosmic relic abundance and f(R) gravity
• Casimir effect in Extended Theories of Gravity
• Tests of General Relativity and Alternative theories of gravity using Gravitational Wave observations
• On the weak field approximation of Brans-Dicke theory of gravity
• Quantum Equivalence Principle Violations in Scalar-Tensor Theories
• Relevance of the weak equivalence principle and experiments to test it: lessons from the past and improvements expected in space
• PeV IceCube signals and Dark Matter relic abundance in modified cosmologies
• Radiation Bursts from Particles in the Field of Compact, Impenetrable, Astrophysical Objects
• The emission of Gamma Ray Bursts as a test-bed for modified gravity
• Testing theories of Gravity and Supergravity with inflation and observations of the cosmic microwave background

Cited by in corpus (15)

• Generalized Uncertainty Principle, Classical Mechanics, and General Relativity
• Precision Gravity Tests and the Einstein Equivalence Principle
• Primordial Black Holes from Confinement
• Neutrino oscillations in extended theories of gravity
• Time-energy uncertainty relation for neutrino oscillations in curved spacetime
• Light bending by a slowly rotating source in quadratic theories of gravity
• Non-relativistic neutrinos and the weak equivalence principle apparent violation
• Quantum nonlocality in extended theories of gravity
• On the equivalence between $f\left(R\right)$ theories and Einstein gravity
• Proposed experimental test of Randall-Sundrum Models
• Equivalent Gravities and Equivalence Principle: Foundations and experimental implications
• Violation of the equivalence principle in curvature based extended gravity at finite temperature
• Equivalence Principle for Antiparticles and its Limitations
• Equivalence principle violation from large scale structure
• Analogous BMS Symmetry in QED and Quantum Anomaly in Dirac and Weyl Semimetals