On Planetary Orbits in Entropic Gravity
arXiv:2106.09155 · doi:10.1142/S0217732321500504
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 obtained from the cosmological constant.
arXiv comment14 pages, no figures
References in corpus (22)
- f(R) Theories Of Gravity
- Thermodynamics of Spacetime: The Einstein Equation of State
- On the Origin of Gravity and the Laws of Newton
- Massive Gravity
- Emergent Gravity and the Dark Universe
- Black hole entropy from Quantum Geometry
- One Law To Rule Them All: The Radial Acceleration Relation of Galaxies
- Logarithmic Corrections to Schwarzschild and Other Non-extremal Black Hole Entropy in Different Dimensions
- The baryonic Tully-Fisher relation for different velocity definitions and implications for galaxy angular momentum
- Entropic Corrections to Friedmann Equations
- Statistical Mechanics of the Self-Gravitating Gas: I. Thermodynamic Limit and Phase Diagram
- Logarithmic Corrections to Black Hole Entropy and AdS/CFT Correspondence
- Combined Solar System and rotation curve constraints on MOND
- The Kepler problem and non commutativity
- Entropy using Path Integrals for Quantum Black Hole Models
- Bulk Entropy in Loop Quantum Gravity
- The Escape Velocity Curve of the Milky Way in Modified Newtonian Dynamics
- Verlinde's emergent gravity versus MOND and the case of dwarf spheroidals
- Testing Verlinde's emergent gravity in early-type galaxies
- Modified entropies, their corresponding Newtonian forces, potentials, and temperatures
- Solar System limits on gravitational dipoles
- Verlinde gravity effects on the orbits of the planets and the Moon in the Solar System