Casimir effect in quadratic theories of gravity
arXiv:1811.12261 · doi:10.1140/epjc/s10052-019-6574-1
Abstract
In this paper, we study the Casimir effect in a curved spacetime described by gravitational actions quadratic in the curvature. In particular, we consider the dynamics of a massless scalar field confined between two nearby plates and compute the corresponding mean vacuum energy density and pressure in the framework of quadratic theories of gravity. Since we are interested in the weak-field limit, as far as the gravitational sector is concerned we work in the linear regime. Remarkably, corrections to the flat spacetime result due to extended models of gravity (although very small) may appear at the first-order of our perturbative analysis, whereas general relativity contributions start appearing at the second order. Future experiments on the Casimir effect might represent a useful tool to test and constrain extended theories of gravity.
10 pages, 1 figure; V2: references added, minor changes, matches published version
References in corpus (28)
- The Confrontation between General Relativity and Experiment
- Nonlocal gravity. Conceptual aspects and cosmological predictions
- Classical properties of non-local, ghost- and singularity-free gravity
- How Does Casimir Energy Fall?
- Fakeons And Lee-Wick Models
- Aspects of general higher-order gravities
- Quantum Gravity, Fakeons And Microcausality
- Generalised Quadratic Curvature, Non-Local Infrared Modifications of Gravity and Newtonian Potentials
- The Ultraviolet Behavior Of Quantum Gravity
- Do massive compact objects without event horizon exist in infinite derivative gravity?
- Conformally-flat, non-singular static metric in infinite derivative gravity
- On the cancellation of Newtonian singularities in higher-derivative gravity
- Probing Models of Extended Gravity using Gravity Probe B and LARES experiments
- Towards nonsingular rotating compact object in ghost-free infinite derivative gravity
- The Casimir Force in a Lorentz Violating Theory
- Non-singular metric for an electrically charged point-source in ghost-free infinite derivative gravity
- Thermal corrections to the Casimir energy in a Lorentz-breaking scalar field theory
- Casimir effect between ponderable media as modeled by the standard model extension
- Astrophysical constraints on extended gravity models
- How does Casimir energy fall? II. Gravitational acceleration of quantum vacuum energy
- Casimir effect in Post-Newtonian Gravity with Lorentz-violation
- Casimir effect for mixed fields
- How does Casimir energy fall? III. Inertial forces on vacuum energy
- Energy-momentum tensor of a Casimir apparatus in a weak gravitational field: scalar case
- Gravitational and Inertial Mass of Casimir Energy
- PeV IceCube signals and Dark Matter relic abundance in modified cosmologies
- Constraints on Covariant Horava-Lifshitz Gravity from frame-dragging experiment
- Structure Formation in Nonlocal MOND
Cited by in corpus (25)
- Precision Gravity Tests and the Einstein Equivalence Principle
- GUP parameter from Maximal Acceleration
- Einstein, Planck and Vera Rubin: relevant encounters between the Cosmological and the Quantum Worlds
- Neutrino oscillations in extended theories of gravity
- Generalized ghost-free propagators in nonlocal field theories
- Time-energy uncertainty relation for neutrino oscillations in curved spacetime
- Nonlocal generalization of Galilean theories and gravity
- Gravitationally induced uncertainty relations in curved backgrounds
- Nonlocal gravity with worldline inversion symmetry
- The Casimir effect for the scalar and Elko fields in a Lifshitz-like field theory
- Null Second Order Corrections to Casimir Energy in Weak Gravitational Field
- Light bending by a slowly rotating source in quadratic theories of gravity
- Heuristic derivation of the Casimir effect from Generalized Uncertainty Principle
- Quantum nonlocality in extended theories of gravity
- Casimir-Polder interactions with massive photons: implications for BSM physics
- Flavor vacuum entanglement in boson mixing
- Quantum interference in external gravitational fields beyond General Relativity
- The Horava-Lifshitz Modifications of the Casimir effect at finite temperature revisted
- Modified dispersion relations and a potential explanation of the EDGES anomaly
- Null second order corrections to Casimir energy in weak gravitational field: The Schwinger's approach
- Precession shift in curvature based Extended Theories of Gravity and Quintessence fields
- Quasi-local stress-tensor formalism and the Casimir effect
- Fermionic Casimir densities for a uniformly accelerating mirror in the Fulling-Rindler vacuum
- Casimir effect in conformally flat spacetimes
- Wave-like exact models with symmetry of spatial homogeneity in the quadratic theory of gravity with a scalar field