scholarly journals Perturbation theory and stability analysis for string-corrected black holes in arbitrary dimensions

2006 ◽  
Author(s):  
F. Moura
Author(s):  
Ram Brustein ◽  
Yotam Sherf

The response of a gravitating object to an external tidal field is encoded in its Love numbers, which identically vanish for classical black holes (BHs). Here we show, using standard time-independent quantum perturbation theory, that for a quantum BH, generically, the Love numbers are nonvanishing and negative. We calculate the quadrupolar electric quantum Love number of slowly rotating BHs and show that it depends most strongly on the first excited level of the quantum BH. Finally, we discuss the detectability of the quadrupolar quantum Love number in future precision gravitational-wave observations and show that, under favourable circumstances, its magnitude is large enough to imprint an observable signature on the gravitational waves emitted during the inspiral. Phase of two moderately spinning BHs.


2018 ◽  
Vol 97 (2) ◽  
Author(s):  
Cristián Erices ◽  
Cristián Martínez

2003 ◽  
Vol 18 (36) ◽  
pp. 2581-2586 ◽  
Author(s):  
OKAN ÖZER ◽  
BÜLENT GÖNÜL

A novel method for the exact solvability of quantum systems is discussed and used to obtain closed analytical expressions in arbitrary dimensions for the exact solutions of the hydrogenic atom in the external potential ΔV(r) = br + cr2, which is based on the recently introduced supersymmetric perturbation theory.


2011 ◽  
Vol 26 (07) ◽  
pp. 515-529 ◽  
Author(s):  
DECHENG ZOU ◽  
ZHANYING YANG ◽  
RUIHONG YUE ◽  
PENG LI

We construct solutions of a model which includes the Gauss–Bonnet and Born–Infeld terms for various horizon topologies (k = 0, ±1), and then the mass, temperature, entropy, and heat capacity of black holes are computed. For the sake of simplicity, we perform the stability analysis of five-dimensional topological black holes in AdS space.


1994 ◽  
Vol 09 (38) ◽  
pp. 3509-3516 ◽  
Author(s):  
KIYOSHI SHIRAISHI

The quantum contribution of a scalar field to entropy of a dilatonic black hole is calculated in the brick wall model by the WKB method and analyzed by a high-temperature expansion. If the cutoff distance from the horizon approaches zero, the leading divergent piece of entropy turns out to be proportional to the “area” of the horizon surface (which has (N−1)-dimensional extension in (N+1)-dimensional space-time) and independent of other properties of black holes even in the case of general dilaton coupling. There is also qualitative argument with the known result of subleading divergence for N=3.


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