Positive Mass Theorem for Black Holes in Einstein-Maxwell Axion-dilaton Gravity

TL;DR

This paper proves a positive mass theorem for black holes within Einstein-Maxwell axion-dilaton gravity, establishing that the total mass exceeds or equals a specific combination of charges, extending classical results to string theory limits.

Contribution

It provides the first proof of the positive mass theorem for black holes in Einstein-Maxwell axion-dilaton gravity, a low-energy string theory limit.

Findings

Mass of black holes is greater or equal to the square root of charge combinations.

Established a lower bound for total mass in this gravity theory.

Extended positive mass theorem to string-inspired gravity models.

Abstract

We presented the proof of the positive mass theorem for black holes in Einstein-Maxwell axion-dilaton gravity being the low-energy limit of the heterotic string theory. We show that the total mass of a spacetime containing a black hole is greater or equal to the square root of the sum of squares of the adequate dilaton-electric and dilaton-axion charges.