Unimodular Gravity Traversable Wormholes

Abstract

Wormholes are outstanding solutions of Einstein's General Relativity. They were worked out in the late 1980's by Morris and Thorne, who have figured out a recipe that wormholes must obey in order to be traversable, that is, safely crossed by travelers. A remarkable feature is that General Relativity Theory wormholes must be filled by {\it exotic matter}, which Morris and Thorne define as matter satisfying $-p_r>\rho$, in which $p_r$ is the radial pressure and $\rho$ is the energy density of the wormhole. In the present article, we introduce, for the first time in the literature, traversable wormhole solutions of Einstein's Unimodular Gravity Theory. Unimodular Gravity was proposed by Einstein himself as the theory for which the field equations are the traceless portion of General Relativity field equations. Later, Weinberg has shown that this approach elegantly yields the solution of the infamous cosmological constant problem. The wormhole solutions here presented satisfy the metric conditions of "traversability" and remarkably evade the exotic matter condition, so we can affirm that Unimodular Gravity wormholes can be filled by ordinary matter.

arXiv comment7 pages, 7 figures

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Cited by in corpus (9)

• Wormholes in the f(R,L,T) theory of gravity
• Traversable Wormholes in Minimally Geometrical Deformed Trace-Free Gravity using Gravitational Decoupling
• Rotating traversable wormhole geometries in the presence of three-form fields
• Conservative wormholes in generalized $\kappa (\mathcal{R},\mathcal{T})$-function
• Unimodular Theory of Gravity in Light of the Latest Cosmological Data
• Gravitational radiation from binary systems in Unimodular gravity
• Can wormhole spacetimes in Unimodular Gravity be supported by ordinary matter? A general proof of the exotic matter requirement
• Matter Geometry Coupling and Casimir Wormhole Geometry
• Model-independent traversable wormholes from baryon acoustic oscillations