Casimir Effect in a Schwarzschild-Like Wormhole Spacetime

Abstract

In this paper, we investigate the role of gravito-inertial effects on the Casimir energy of a massless scalar field confined between two parallel plates orbiting a static and zero tidal Schwarzschild-like wormhole, at zero temperature. Firstly, we obtain the metric in isotropic coordinates, finding the allowed angular velocities and the circular orbit radii for a material particle as well as for the photon. Following, we compute the changes induced by both gravity and rotation of the plates in the energy density of the quantum vacuum fluctuations associated to the scalar field, in the zero tidal approximation inside the cavity. Finally, the Casimir energy obtained for some these wormholes are graphically compared between themselves and also with those ones related to an Ellis wormhole as well as to a Schwarzschild black hole. With this, the gravito-inertial effects on the quantum vacuum fluctuations analyzed in this work allow to recognize and identify both the geometry and topology of the spacetime associated to each one of these objects.

arXiv comment15 pages, 2 figures

References in corpus (22)

• Cool horizons for entangled black holes
• Electromagnetic wormholes and virtual magnetic monopoles
• Wormholes as Black Hole Foils
• An exact Schwarzschild-like solution in a bumblebee gravity model
• Rotating traversable wormholes
• Casimir Wormholes
• Cylindrical thin-shell wormholes
• Traversable Wormholes Supported by GUP Corrected Casimir Energy
• Graphene wormholes: A condensed matter illustration of Dirac fermions in curved space
• Black Holes and Wormholes in spinor polariton condensates
• Brans-Dicke cylindrical wormholes
• Casimir effect in a wormhole spacetime
• Casimir Energy of a Long Wormhole Throat
• Analogue Wormholes and Black Hole LASER Effect in Hydrodynamics
• Casimir Effect in the Kerr Spacetime with Quintessence
• Casimir Effect in the Horava-Lifshitz Gravity with a Cosmological Constant
• Cylindrical wormholes with positive cosmological constant
• Cylindrically and axially symmetric wormholes. Throats in vacuum?
• Tidal and nonequilibrium Casimir effects in free fall
• Null Second Order Corrections to Casimir Energy in Weak Gravitational Field
• Thermal Casimir Effect in Kerr Space-time
• Schwarzschild-Like Wormholes as Accelerators

Cited by in corpus (10)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Casimir Wormholes in Modified Symmetric Teleparallel Gravity
• Probing the existence of the ZTF Casimir wormholes in the framework of $f(\mathcal{R})$ gravity
• Casimir Effect Nearby and Through a Cosmological Wormhole
• Casimir wormhole with GUP correction in extended symmetric teleparallel gravity
• Traversable wormhole in logarithmic $f(R)$ gravity by various shape and redshift functions
• Thermal Casimir effect in the Einstein Universe with a spherical boundary
• Casimir Wormholes in (2+1) Dimensions with Applications to the Graphene
• Wormhole Solutions in deformed space-time
• Generating 4-dimensional Wormholes with Yang-Mills Casimir Sources