TY - JOUR
T1 - Black holes in quartic-order beyond-generalized Proca theories
AU - Kase, Ryotaro
AU - Minamitsuji, Masato
AU - Tsujikawa, Shinji
N1 - Funding Information:
We thank Ying-li Zhang for useful discussions. RK is supported by the Grant-in-Aid for Young Scientists B of the JSPS No. 17K14297 . MM is supported by FCT-Portugal through Grant No. SFRH/BPD/88299/2012 . ST is supported by the Grant-in-Aid for Scientific Research Fund of the JSPS No. 16K05359 and MEXT KAKENHI Grant-in-Aid for Scientific Research on Innovative Areas “Cosmic Acceleration” (No. 15H05890 ). MM thanks Tokyo University of Science for kind hospitality at the early stage of this work. RK and ST appreciate CENTRA for warm hospitality at the final stage of this work.
Publisher Copyright:
© 2018 The Author(s)
PY - 2018/7/10
Y1 - 2018/7/10
N2 - The generalized Proca theories with second-order equations of motion can be healthily extended to a more general framework in which the number of propagating degrees of freedom remains unchanged. In the presence of a quartic-order nonminimal coupling to gravity arising in beyond-generalized Proca theories, the speed of gravitational waves ct on the Friedmann–Lemaître–Robertson–Walker (FLRW) cosmological background can be equal to that of light c under a certain condition. By using this condition alone, we show that the speed of gravitational waves in the vicinity of static and spherically symmetric black holes is also equivalent to c for the propagation of odd-parity perturbations along both radial and angular directions. As a by-product, the black holes arising in our beyond-generalized Proca theories are plagued by neither ghost nor Laplacian instabilities against odd-parity perturbations. We show the existence of both exact and numerical black hole solutions endowed with vector hairs induced by the quartic-order coupling.
AB - The generalized Proca theories with second-order equations of motion can be healthily extended to a more general framework in which the number of propagating degrees of freedom remains unchanged. In the presence of a quartic-order nonminimal coupling to gravity arising in beyond-generalized Proca theories, the speed of gravitational waves ct on the Friedmann–Lemaître–Robertson–Walker (FLRW) cosmological background can be equal to that of light c under a certain condition. By using this condition alone, we show that the speed of gravitational waves in the vicinity of static and spherically symmetric black holes is also equivalent to c for the propagation of odd-parity perturbations along both radial and angular directions. As a by-product, the black holes arising in our beyond-generalized Proca theories are plagued by neither ghost nor Laplacian instabilities against odd-parity perturbations. We show the existence of both exact and numerical black hole solutions endowed with vector hairs induced by the quartic-order coupling.
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U2 - 10.1016/j.physletb.2018.05.078
DO - 10.1016/j.physletb.2018.05.078
M3 - Article
AN - SCOPUS:85048528156
VL - 782
SP - 541
EP - 550
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
ER -