Yukawa-Casimir Wormholes

Abstract

In this work, we consider a Yukawa modification of the Casimir wormhole. With the help of an Equation of State, we impose Zero Tidal Forces. We will examine two different approaches: in a first approach, we will fix the form of the shape function of the Casimir wormholes modified by a Yukawa term in three different ways and finally a superposition of different profiles. In the second approach, we will consider the original Casimir source modified by a Yukawa term in three different ways and we will deduce the form of the shape function In both the approaches the reference energy density will be that of the Casimir source. Connection with the Absurdly Benign Traversable Wormhole are also discussed.

arXiv commentRevtex4 19 pages

References in corpus (27)

• Extended Theories of Gravity
• Traversable wormholes with arbitrarily small energy condition violations
• Black Holes in Modified Gravity (MOG)
• Lambert W Function for Applications in Physics
• Casimir Wormholes
• Reconstructing wormhole solutions in curvature based Extended Theories of Gravity
• Testing wormhole solutions in extended gravity through the Poynting-Robertson effect
• General relativistic Poynting-Robertson effect to diagnose wormholes existence: static and spherically symmetric case
• Stronger constraints for nanometer scale Yukawa-type hypothetical interactions from the new measurement of the Casimir force
• Self sustained phantom wormholes in semi-classical gravity
• Self-sustained traversable wormholes in noncommutative geometry
• Constraining the range of Yukawa gravity interaction from S2 star orbits
• Analysis of the Yukawa gravitational potential in $f(R)$ gravity I: semiclassical periastron advance
• Analysis of the Yukawa gravitational potential in $f(R)$ gravity II: relativistic periastron advance
• Epicyclic frequencies in static and spherically symmetric wormhole geometries
• Semiclassical energy conditions for quantum vacuum states
• Constraining the range of Yukawa gravity interaction from S2 star orbits II: Bounds on graviton mass
• Wormholes minimally violating the null energy condition
• Constraining the range of Yukawa gravity interaction from S2 star orbits III: improvement expectations for graviton mass bounds
• Energetics in Condensate Star and Wormholes
• Gravity Modification with Yukawa-type Potential: Dark Matter and Mirror Gravity
• Self-sustained wormholes in modified dispersion relations
• Self Sustained Traversable Wormholes?
• Generalized Absurdly Benign Traversable Wormholes powered by Casimir Energy
• Self sustained traversable wormholes and the equation of state
• Fourth Order Gravity, Scalar-Tensor-Vector Gravity, and Galaxy Rotation Curves
• New Constraints on the Yukawa-Type Hypothetical Interaction From The Recent Casimir Force Measurement

Cited by in corpus (4)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Probing the existence of the ZTF Casimir wormholes in the framework of $f(\mathcal{R})$ gravity
• Dymnikova-Schwinger traversable wormholes
• On the traversable Yukawa-Casimir wormholes