Lichnerowicz Modes and Black Hole Families in Ricci Quadratic Gravity
arXiv:1704.05493 · doi:10.1103/PhysRevD.96.046006
Abstract
A new branch of black hole solutions occurs along with the standard Schwarzschild branch in -dimensional extensions of general relativity including terms quadratic in the Ricci tensor. The standard and new branches cross at a point determined by a static negative-eigenvalue eigenfunction of the Lichnerowicz operator, analogous to the Gross-Perry-Yaffe eigenfunction for the Schwarzschild solution in standard dimensional general relativity. This static eigenfunction has two rôles: both as a perturbation away from Schwarzschild along the new black-hole branch and also as a threshold unstable mode lying at the edge of a domain of Gregory-Laflamme-type instability of the Schwarzschild solution for small-radius black holes. A thermodynamic analogy with the Gubser and Mitra conjecture on the relation between quantum thermodynamic and classical dynamical instabilities leads to a suggestion that there may be a switch of stability properties between the old and new black-hole branches for small black holes with radii below the branch crossing point.
33 pages, 8 figures
References in corpus (4)
Cited by in corpus (37)
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