Characterizing black hole metrics in quadratic gravity
Abstract
The recent discovery of non-Schwarzschild black hole spacetimes has opened new directions of research in higher-derivative gravitational theories. However, despite intense analytical and numerical efforts, the link with the linearized theory is still poorly understood. In this work we address this point for the Einstein-Weyl Lagrangian, whose weak field limit is characterized by the standard massless graviton and a spin-2 ghost. We show that the strength of the Yukawa term at infinity determines the thermal properties of the black hole and the structure of the singularity near r =0 . Moreover, inspired by recent results in the asymptotic safety scenario we investigate the consequences of an imaginary ghost mass. In this case we find a countable set of solutions all characterized by spatial oscillations of typical wavelength determined by the mass of the spin-2 field.
- Publication:
-
Physical Review D
- Pub Date:
- May 2019
- DOI:
- 10.1103/PhysRevD.99.101501
- arXiv:
- arXiv:1903.08759
- Bibcode:
- 2019PhRvD..99j1501B
- Keywords:
-
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory
- E-Print:
- 5 pages, 6 figures