Entropic Corrections to Einstein Equations

TL;DR

This paper derives modified Einstein equations and MOND gravity models incorporating quantum entropy corrections, specifically logarithmic and power-law forms, to explore quantum effects on gravitational dynamics.

Contribution

It introduces a novel approach to include quantum entropy corrections into Einstein and MOND equations using an entropic force perspective.

Findings

Derived explicit forms of modified Einstein and MOND equations with quantum entropy corrections

Analyzed logarithmic and power-law entropy corrections and their impact on gravitational equations

Provided insights into quantum effects on gravity through entropic force framework

Abstract

Considering the general quantum corrections to the area law of black hole entropy and adopting the viewpoint that gravity interprets as an entropic force, we derive the modified forms of MOND theory of gravitation and Einstein field equations. As two special cases we study the logarithmic and power-law corrections to entropy and find the explicit form of the obtained modified equations.