TY - JOUR
T1 - Black string perturbations in RS1 model
AU - Kanno, Sugumi
AU - Soda, Jiro
N1 - Funding Information:
Acknowledgements This work was supported in part by Grant-in-Aid for Scientific Research Fund of the Ministry of Education, Science and Culture of Japan No. 155476 (SK) and No.14540258 (JS) and also by a Grant-in-Aid for the 21st Century COE “Center for Diversity and Universality in Physics”.
PY - 2005/9
Y1 - 2005/9
N2 - We present a general formalism for black string perturbations in the Randall-Sundrum 1 model (RS1). First, we derive the master equation for the electric part of the Weyl tensor E μν. Solving the master equation using the gradient expansion method, we give the effective Teukolsky equation on the brane at low energy. It is useful to estimate gravitational waves emitted by perturbed rotating black strings. We also argue on the effect of the Gregory-Laflamme instability on the brane using our formalism.
AB - We present a general formalism for black string perturbations in the Randall-Sundrum 1 model (RS1). First, we derive the master equation for the electric part of the Weyl tensor E μν. Solving the master equation using the gradient expansion method, we give the effective Teukolsky equation on the brane at low energy. It is useful to estimate gravitational waves emitted by perturbed rotating black strings. We also argue on the effect of the Gregory-Laflamme instability on the brane using our formalism.
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U2 - 10.1007/s10714-005-0142-8
DO - 10.1007/s10714-005-0142-8
M3 - Article
AN - SCOPUS:26844550338
SN - 0001-7701
VL - 37
SP - 1651
EP - 1662
JO - General Relativity and Gravitation
JF - General Relativity and Gravitation
IS - 9
ER -