Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

A Review of Wormhole Stabilization in f(R) Gravity Theories

Version 1 : Received: 6 May 2024 / Approved: 7 May 2024 / Online: 8 May 2024 (09:44:32 CEST)

How to cite: Radhakrishnan, R.; Brown, P. M.; Matulevich, J. A.; Davis, E. W.; Mirfendereski, D.; Cleaver, G. B. A Review of Wormhole Stabilization in f(R) Gravity Theories. Preprints 2024, 2024050451. https://doi.org/10.20944/preprints202405.0451.v1 Radhakrishnan, R.; Brown, P. M.; Matulevich, J. A.; Davis, E. W.; Mirfendereski, D.; Cleaver, G. B. A Review of Wormhole Stabilization in f(R) Gravity Theories. Preprints 2024, 2024050451. https://doi.org/10.20944/preprints202405.0451.v1

Abstract

It has been proven that in standard Einstein gravity, exotic matter (i.e. matter violating the point-wise and averaged weak and null energy conditions) is required to stabilize traversable wormholes. Quantum field theory permits these violations due to the quantum coherent effects found in any quantum field . Even reasonable classical scalar fields violate the energy conditions. In the case of the Casimir effect and squeezed vacuum states, these violations have been experimentally proven. It is advantageous to investigate methods of minimizing the use of exotic matter. One such area of interest is extended theories of Einstein gravity. It has been claimed that in some extended theories, stable traversable wormholes solutions can be found without the use of exotic matter. There are many extended theories of gravity and in this review paper we first explore f(R) theories and then explore some wormhole solutions in f(R) theories including Lovelock gravity.

Keywords

traversable wormhole; modified gravity; extended gravity; f(R) theory; wormhole stabilization

Subject

Physical Sciences, Theoretical Physics

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