Quasi-local characteristics of dynamical extreme black holes

TL;DR

This paper introduces the extreme trapping horizon concept to analyze the geometry and causal features of dynamical extreme black holes, providing new integral identities and insights into their structure.

Contribution

It presents the first detailed geometric and causal analysis of dynamical extreme black holes using the novel concept of the extreme trapping horizon.

Findings

Derived integral identities for dynamical extreme black holes

Characterized geometric features of extreme trapping horizons

Analyzed causal and geometrical properties of these black holes

Abstract

Introducing the concept of the extreme trapping horizon, we discuss geometric features of dynamical extreme black holes in four dimensions and then derive the integral identities which hold for the dynamical extreme black holes. We address the causal/geometrical features too.