Replica Trick Entanglement Entropy of f(R) Black Hole Spacetime
Hadyan Luthfan Prihadi and Freddy Permana Zen and Seramika Ariwahjoedi

Institut Teknologi Bandung

Abstract

Replica trick calculation of entanglement entropy is used to derive the entanglement entropy of maximally-extended black hole spacetimes in -f(R)- gravity. We use some static and spherically symmetric black hole solutions with charge and cosmological constant. We find that for some specific form of -f(R)-, some solutions does not reproduce the area-law Bekenstein-Hawking entropy, while some other solution still obey the area-law entropy.

Keywords: Entanglement, Entropy, Black Hole, Modified Gravity

Topic: PHYSICAL SCIENCES