Implications of the generalized entropy formalisms on the Newtonian gravity and dynamics

Moradpour, H.  (Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), P.O. Box 55134-441, Maragha, Iran) ; Sheykhi, A. (Physics Department, Biruni Observatory, College of Sciences, Shiraz University, Shiraz, 71454, Iran) ; Corda, C.  (Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), P.O. Box 55134-441, Maragha, Iran) (International Institute for Applicable Mathematics and Information Sciences, Adarshnagar, Hyderabad, 500063, India) ; Salako, Ines G. (Département de Physique, Université Nationale d'Agriculture, 01 BP 55, Porto-Novo, Benin) (Institut de Mathématiques et de Sciences Physiques (IMSP), Université d'Abomey-Calavi Porto-Novo, 01 BP 613, Porto-Novo, Benin)

26 June 2018

Abstract: Employing the Verlinde's hypothesis, and considering two well-known generalized entropy formalisms, two modifications to the Newtonian gravity are derived. In addition, it has been shown that the generalized entropy measures may also provide theoretical basis for the Modified Newtonian Dynamics (MOND) theory and generate its modified forms. Since these entropy measures are also successful in describing the current accelerated universe, our results indicate that the origin of dark sectors of cosmos may be unified to meeting the generalized entropy measures instead of the Boltzmann–Gibbs entropy by the gravitational systems due to the long-range nature of gravity.


Published in: Physics letters B (2018)
Published by: Elsevier
DOI: 10.1016/j.physletb.2018.06.040
License: CC-BY-3.0



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