Johan Michel Chavez Tovar
Geometric flows, entropy, and nonlinear electrodynamics.
When applied to a gravitational theory like general relativity, the Raychaudhuri equation is a fundamental result that describes the motion of nearby particles in curved spacetime. In this work, we present a method for deriving it by assuming a geometric flow in spacetime. Finally, an interesting relation between geometrical entropy and mean geodesic deviation can be established, a property that we study for black hole geometries coupled to nonlinear electrodynamics.
