Traversable Wormholes in Higher Dimensional Theories of Gravity

Abstract

Wormhole solutions in classical General Relativity are unstable and hence non traversable. Morris and Thorne discovered a traversable wormhole solution that required the energy momentum tensor of matter sources to violate various energy conditions and are out of the purview of the standard model of particle physics. The search for traversable wormhole solutions in Modified Theories of Gravity has been of significant interest in the decades after Morris and Thorne first published their results as such violations may be avoided in such theories. This work comprehensively reviews traversable wormhole solutions in modified theories of gravity with extra dimensions that satisfy the various energy conditions with an in depth look at the matter sources and the various constraints on the parameters of the theory to make the energy momentum of the matter sources respect the energy conditions.

arXiv comment13 pages, 3 figures, 1 table

References in corpus (44)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• Modified Gravity and Cosmology
• f(R,T) gravity
• Extra force in $f(R)$ modified theories of gravity
• Detection of the gravitational redshift in the orbit of the star S2 near the Galactic centre massive black hole
• Kaluza-Klein Gravity
• Dilatonic Black Holes in Higher Curvature String Gravity
• Traversable wormholes: Some simple examples
• Wormhole geometries in f(R) modified theories of gravity
• Comments on the Holographic Picture of the Randall-Sundrum Model
• Dark Energy vs. Modified Gravity
• Wormholes in Dilatonic Einstein-Gauss-Bonnet Theory
• The null energy condition in dynamic wormholes
• Possible wormholes in a brane world
• Wormholes supported by hybrid metric-Palatini gravity
• Modelling wormholes in $f(R,T)$ gravity
• Instantons and seven-branes in type IIB superstring theory
• Rotating traversable wormholes
• A Primer on Energy Conditions
• Static Spherically Symmetric Wormholes in $f(R,T)$ Gravity
• Stable Lorentzian Wormholes in Dilatonic Einstein-Gauss-Bonnet Theory
• Inflating Lorentzian Wormholes
• Wormhole Geometries In $f(R,T)$ Gravity
• Static wormhole solution for higher-dimensional gravity in vacuum
• Testing the universality of free fall by tracking a pulsar in a stellar triple system
• Evolving Lorentzian Wormholes
• Thin-shell wormholes supported by ordinary matter in Einstein--Gauss--Bonnet gravity
• Wormholes in $R^2$-gravity within the $f(R,T)$ formalism
• Wormholes without exotic matter in Einstein-Cartan theory
• Exact solutions for the Einstein-Gauss-Bonnet theory in five dimensions: Black holes, wormholes and spacetime horns
• Einstein-Cartan wormhole solutions
• Wormholes, the weak energy condition, and scalar-tensor gravity
• Wormholes in generalized hybrid metric-Palatini gravity obeying the matter null energy condition everywhere
• R=0 spacetimes and self-dual Lorentzian wormholes
• Wormholes and Flux Tubes in 5D Kaluza-Klein Theory
• Weak lensing, dark matter and dark energy
• Can extra dimensional effects allow wormholes without exotic matter?
• Dynamic wormhole solutions in Einstein-Cartan gravity
• Cosmology of Randall-Sundrum models with an extra dimension stabilized by balancing bulk matter
• Out of the White Hole: A Holographic Origin for the Big Bang
• Modified gravity and dark matter
• Kaluza-Klein wormholes with the compactified fifth dimension
• Dyonic Wormholes in 5D Kaluza-Klein Theory

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• Multi-Sheet Wormholes in the Gravitational Soliton Formalism
• Traversable wormholes in $f(R)$ gravity sourced by a cloud of strings
• Thin-shell wormholes in N-dimensional F(R) gravity