Positivity of Energy in Einstein-Maxwell Axion-dilaton gravity

TL;DR

This paper proves the positivity of ADM and Bondi energy in Einstein-Maxwell axion-dilaton gravity without requiring globally defined asymptotic spinors, using spinor fields defined near infinity.

Contribution

It introduces a new approach to prove energy positivity by only requiring spinor fields near infinity, bypassing the need for globally defined asymptotic spinors.

Findings

Proof of positivity of ADM energy

Proof of positivity of Bondi energy

Method applicable to Einstein-Maxwell axion-dilaton gravity

Abstract

Avoiding the problem of the existence of asymptotically constant spinors satysfying certain differential equations on a non-compact hypersrface we presented the proof of positivity of the ADM and Bondi energy in Einstein-Maxwell axion-dilaton gravity. In our attitude spinor fields defining the enwergy need only be defined near infinity and there satysfying propagation equations.