The spacetime metric of a spherically symmetric deformation of space derived from the cosmic fabric model of gravity

Autor: Mark F. Horstemeyer, T. G. Tenev
Rok vydání: 2019
Předmět:
Zdroj: International Journal of Modern Physics D. 28:1950096
ISSN: 1793-6594
0218-2718
DOI: 10.1142/s0218271819500962
Popis: The Cosmic Fabric model of gravity that was previously introduced by Tenev and Horstemeyer [T. G. Tenev and M. F. Horstemeyer, Int. J. Mod. Phys. D 27 (2018) 1850083; Rep. Adv. Phys. Sci. 2 (2018) 1850011] is further developed to provide a method for deriving the spacetime metric of the fabric's deformation due to a spherically symmetric gravitating body. We show that the derived metric is equivalent to the Schwarzschild metric up to a rescaling factor. From analyzing the membrane portion of the elastic energy due to an inclusion, we conclude that matter cannot be continuous at arbitrary sizes but must comprise discrete particles. Therefore, we show that the Cosmic Fabric model leads to results consistent with accepted theories at both continuum as well as sub-continuum length scales.
Databáze: OpenAIRE