Generalized Gravitational Entropy of Interacting Scalar Field and Maxwell Field

Understand

The generalized gravitational entropy proposed by Lewkowycz and Maldacena in recent is extended to the interacting real scalar field and Maxwell field system.

• Using the BTZ geometry we first investigate the case of free real scalar field and then show a possible way to calculate the entropy of the interacting scalar field.
• Next, we investigate the Maxwell field system.
• We exactly solve the wave equation and calculate the analytic value of the generalized gravitational entropy.