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Comparing f(R) modified gravity and noncommutative geometry in the context of dark matter and traversable wormholes: a survey

2021/01/03 by Peter K. F. Kuhfittig, Kuhfittig, Peter K. F.
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc

paper · pdf · doi:10.48550/arxiv.2101.00654

9 pages, no figures

arxiv created 2021/01/03 · arxiv updated 2021/01/05

Abstract

Noncommutative geometry, as conceptualized by Nicolini, Smailagic, and Spallucci, may be viewed as a slight modification of Einstein's theory. The same can be said for f(R) modified gravity for an appropriate choice of the function f(R). Since such an f(R) could be determined from the noncommutative-geometry background, these gravitational theories make very similar predictions in the discussion of (a) dark matter and (b) traversable wormholes; they can therefore be taken as equally viable models.

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