2021
DOI: 10.1142/s0217732321500504
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On planetary orbits in entropic gravity

Abstract: Starting with an entropy that includes volumetric, area and length terms as well as logarithmic contributions, we derive the corresponding modified Newtonian gravity and derive the expression for planetary orbits. We calculate the shift of the perihelion of Mercury to find bounds to the parameters associated to the modified Newtonian gravity. We compare the parameter associated to the volumetric contribution in the entropy-area relationship with the value derived for galactic rotation curves and the value obta… Show more

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Cited by 4 publications
(2 citation statements)
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“…This is consistent with the MOND prediction of 4, but by now it is quite clear that M s ∝ v f 2 is strongly incompatible with observations, a fact which has been known for many decades [159]. This also rules out volume corrections to the Hawking-Bekenstein entropy relation as a cause for the missing gravity problem [358]. Figure 12.…”
Section: Implications For Alternatives To λCdm and Mondsupporting
confidence: 79%
“…This is consistent with the MOND prediction of 4, but by now it is quite clear that M s ∝ v f 2 is strongly incompatible with observations, a fact which has been known for many decades [159]. This also rules out volume corrections to the Hawking-Bekenstein entropy relation as a cause for the missing gravity problem [358]. Figure 12.…”
Section: Implications For Alternatives To λCdm and Mondsupporting
confidence: 79%
“…As presented in [6], we can obtain corrections to Newtonian gravity from a non-extensive entropy. Also in [7], the consequences on planetary motion were studied. Since these formulations of gravity have an entropic origin, in principle, one can propose modifications to gravity by analyzing changes to the entropy area law.…”
Section: Introductionmentioning
confidence: 99%