TY - JOUR
T1 - Proof of the Riemannian Penrose inequality with charge for multiple black holes
AU - Khuri, Marcus
AU - Weinstein, Gilbert
AU - Yamada, Sumio
N1 - Funding Information:
M. Khuri acknowledges the support of NSF Grants DMS-1007156 and DMS-1308753. S. Yamada acknowledges the support of JSPS Grants 23654061 and 24340009.
PY - 2017/7
Y1 - 2017/7
N2 - We present a proof of the Riemannian Penrose inequality with charge in the context of asymptotically flat initial data sets for the Einstein-Maxwell equations, having possibly multiple black holes with no charged matter outside the horizon, and satisfying the relevant dominant energy condition. The proof is based on a generalization of Hubert Bray's conformal flow of metrics adapted to this setting.
AB - We present a proof of the Riemannian Penrose inequality with charge in the context of asymptotically flat initial data sets for the Einstein-Maxwell equations, having possibly multiple black holes with no charged matter outside the horizon, and satisfying the relevant dominant energy condition. The proof is based on a generalization of Hubert Bray's conformal flow of metrics adapted to this setting.
UR - http://www.scopus.com/inward/record.url?scp=85024371678&partnerID=8YFLogxK
U2 - 10.4310/jdg/1500084023
DO - 10.4310/jdg/1500084023
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AN - SCOPUS:85024371678
SN - 0022-040X
VL - 106
SP - 451
EP - 498
JO - Journal of Differential Geometry
JF - Journal of Differential Geometry
IS - 3
ER -