2007/06/30 by Vadim Asnin, Dan Gorbonos, Shahar Hadar +4 · 1 citation
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/24/22/015
published as Class.Quant.Grav.24:5527-5540,2007 · 17 pages, 4 figures. v2: added reference. v3: published version
openalex publication_date 2007/10/30 · arxiv created 2007/11/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
The negative mode of the Schwarzschild black hole is central to Euclidean quantum gravity around hot flat space and for the Gregory–Laflamme black string instability. We analyze the eigenvalue as a function of spacetime dimension λ = λ( d ) by constructing two perturbative expansions: one for large d and the other for small d − 3, and determining as many coefficients as we are able to compute analytically. By joining the two expansions, we obtain an interpolating rational function accurate to better than 2% through the whole range of dimensions including d = 4.