TY - JOUR
T1 - A Penrose-type inequality with angular momentum and charge for axisymmetric initial data
AU - Khuri, Marcus
AU - Sokolowsky, Benjamin
AU - Weinstein, Gilbert
N1 - Publisher Copyright:
© 2019, Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2019/9/1
Y1 - 2019/9/1
N2 - A lower bound for the ADM mass is established in terms of angular momentum, charge, and horizon area in the context of maximal, axisymmetric initial data for the Einstein–Maxwell equations which satisfy the weak energy condition. If, on the horizon, the given data agree to a certain extent with the associated model Kerr–Newman data, then the inequality reduces to the conjectured Penrose inequality with angular momentum and charge. In addition, a rigidity statement is also proven whereby equality is achieved if and only if the data set arises from the canonical slice of a Kerr–Newman spacetime.
AB - A lower bound for the ADM mass is established in terms of angular momentum, charge, and horizon area in the context of maximal, axisymmetric initial data for the Einstein–Maxwell equations which satisfy the weak energy condition. If, on the horizon, the given data agree to a certain extent with the associated model Kerr–Newman data, then the inequality reduces to the conjectured Penrose inequality with angular momentum and charge. In addition, a rigidity statement is also proven whereby equality is achieved if and only if the data set arises from the canonical slice of a Kerr–Newman spacetime.
KW - Angular momentum
KW - Axisymmetry
KW - Harmonic maps
KW - Penrose inequality
KW - Weyl coordinates
UR - http://www.scopus.com/inward/record.url?scp=85073202909&partnerID=8YFLogxK
U2 - 10.1007/s10714-019-2600-8
DO - 10.1007/s10714-019-2600-8
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AN - SCOPUS:85073202909
SN - 0001-7701
VL - 51
JO - General Relativity and Gravitation
JF - General Relativity and Gravitation
IS - 9
M1 - 118
ER -