TY - JOUR

T1 - Time-Periodic Einstein–Klein–Gordon Bifurcations of Kerr

AU - Chodosh, Otis

AU - Shlapentokh-Rothman, Yakov

N1 - Publisher Copyright:
© 2017, Springer-Verlag GmbH Germany.

PY - 2017/12/1

Y1 - 2017/12/1

N2 - We construct one-parameter families of solutions to the Einstein–Klein–Gordon equations bifurcating off the Kerr solution such that the underlying family of spacetimes are each an asymptotically flat, stationary, axisymmetric, black hole spacetime, and such that the corresponding scalar fields are non-zero and time-periodic. An immediate corollary is that for these Klein–Gordon masses, the Kerr family is not asymptotically stable as a solution to the Einstein–Klein–Gordon equations.

AB - We construct one-parameter families of solutions to the Einstein–Klein–Gordon equations bifurcating off the Kerr solution such that the underlying family of spacetimes are each an asymptotically flat, stationary, axisymmetric, black hole spacetime, and such that the corresponding scalar fields are non-zero and time-periodic. An immediate corollary is that for these Klein–Gordon masses, the Kerr family is not asymptotically stable as a solution to the Einstein–Klein–Gordon equations.

UR - http://www.scopus.com/inward/record.url?scp=85030672662&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85030672662&partnerID=8YFLogxK

U2 - 10.1007/s00220-017-2998-3

DO - 10.1007/s00220-017-2998-3

M3 - Article

AN - SCOPUS:85030672662

SN - 0010-3616

VL - 356

SP - 1155

EP - 1250

JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 3

ER -