Quasi-local Casimir energy and vacuum buoyancy in a weak gravitational field
arXiv:2011.10991 · doi:10.1088/1361-6382/abc666
Abstract
Casimir energy in presence of a weak gravitational field is discussed taking into account the issues related to energy and its conservation in a curved background. It is well-known that there are inherent difficulties in defining energy in General Relativity, essentially due to its non-localizability. Using the concept of quasi-local mass and energy, it is shown that it is possible to attribute a Tolman mass to a massless scalar field confined to a Casimir cavity. Such non-local mass coincides - as expected - with the Casimir energy. The present approach offers an alternative derivation of the vacuum buoyancy force acting on a Casimir cavity, confirming the results presented by Calloni {\em et al.} in a series of papers devoted to explore the possibility of experimentally weighting the Casimir vacuum (the so-called Archimedes Experiment).
arXiv comment20 pages. Accepted in Class. Quantum Grav
References in corpus (31)
- Testing the equivalence principle through freely falling quantum objects
- How Does Casimir Energy Fall?
- Fermi Coordinates for Weak Gravitational Fields
- Energy-momentum tensor for a Casimir apparatus in a weak gravitational field
- Relativistic mechanics of Casimir apparatuses in a weak gravitational field
- Vacuum fluctuation force on a rigid Casimir cavity in a gravitational field
- How does Casimir energy fall? II. Gravitational acceleration of quantum vacuum energy
- Towards weighing the condensation energy to ascertain the Archimedes force of vacuum
- Casimir Effect, Hawking Radiation and Trace Anomaly
- How does Casimir energy fall? IV. Gravitational interaction of regularized quantum vacuum energy
- Energy-momentum tensor of a Casimir apparatus in a weak gravitational field: scalar case
- Kinetic Energy and the Equivalence Principle
- How does Casimir energy fall? III. Inertial forces on vacuum energy
- From Rindler space to the electromagnetic energy-momentum tensor of a Casimir apparatus in a weak gravitational field
- Can the quantum vacuum fluctuations really solve the cosmological constant problem?
- Gravitational and Inertial Mass of Casimir Energy
- Interactions between delta-like sources and potentials
- Vacuum energy and the spacetime index of refraction: A new synthesis
- Gravitational effects on a rigid Casimir cavity
- Tidal and nonequilibrium Casimir effects in free fall
- Casimir effect of two conducting parallel plates in a general weak gravitational field
- Casimir effect in free-fall towards a Schwarzschild black hole
- Field theoretic description of electromagnetic boundaries: The Casimir effect between dissimilar mirrors from external potentials
- Null Second Order Corrections to Casimir Energy in Weak Gravitational Field
- Pressure as a Source of Gravity
- Does Pressure Increase or Decrease Active Gravitational Mass Density?
- Detecting dark matter in electromagnetic field penetration experiments
- On the Relativistic Formulation of Matter
- The white wall, a gravitational mirror
- Interaction of gravitational waves with matter
- Exploring compression techniques for ROOT IO
Cited by in corpus (6)
- Gravitational bending angle with finite distances by Casimir wormholes
- A new model of regular black hole in dimensions
- A new class of regular black hole solutions with quasi-localized sources of matter in dimensions
- Gravitational Decoupling algorithm modifies the value of the conserved charges and thermodynamics properties in Lovelock Unique Vacuum theory
- Casimir Wormholes in (2+1) Dimensions with Applications to the Graphene
- Fermionic Casimir densities for a uniformly accelerating mirror in the Fulling-Rindler vacuum