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JHEP, 05, 123 (2022)

Near horizon gravitational charges

Hai-shan Liu and Pujian Mao

Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, 135 Yaguan Road, Tianjin 300350, China.

hsliu.zju@gmail.compjmao@tju.edu.cn

Abstract

In this paper, we study the near horizon symmetry and gravitational charges in the Newman-Penrose formalism. In particular we investigate the effect from topological terms. We find that the Pontryagin term and Gauss-Bonnet term have significant influence on the near horizon charges and bring interesting novel features. We show that the gravitational charge derived from a general class of topological terms including the Pontryagin term and Gauss-Bonnet term can be obtained from the ambiguities of the symplectic potential.

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天津大学理学院 量子交叉研究中心   地址:天津津南区 雅观路135号 天津大学北洋园校区32楼146 
Center for Joint Quantum Studies, School of Science, Tianjin University     Address : Yaguan Road 135, Jinnan District, 300350 Tianjin, P. R. China