On energy bounds in asymptotically locally AdS spacetimes
Abstract
This work considers positive energy theorems in asymptotically, locally AdS spacetimes. Particular attention is given to spacetimes where conformal infinity has compact, Einstein cross-sections admitting Killing or parallel spinors; a positive energy theorem is derived for such spacetimes in terms of geometric data intrinsic to the cross-section. This is followed by the first complete proofs of the BPS inequalities in (the bosonic sectors of) 4D and 5D minimal, gauged supergravity, including with magnetic fields, provided the Maxwell field is exact. The BPS inequalities are proven for asymptotically AdS spacetimes, but also generalised to the aforementioned class of asymptotically, locally AdS spacetimes.
Keywords
Cite
@article{arxiv.2508.19108,
title = {On energy bounds in asymptotically locally AdS spacetimes},
author = {Virinchi Rallabhandi},
journal= {arXiv preprint arXiv:2508.19108},
year = {2025}
}
Comments
39 pages, 1 figure, accepted in Classical and Quantum Gravity. The main changes from the previous version are the new figure, an extended discussion of asymptotic symmetries & the geometric invariance of the derived inequalities, some extra detail on some of the calculations & analysis and some re-organisation of the material