Black holes in a new gravitational theory with trace anomalies
arXiv:2304.10019 · doi:10.1016/j.physletb.2023.138054
Abstract
In a new gravitational theory with the trace anomaly recently proposed by Gabadadze, we study the existence of hairy black hole solutions on a static and spherically symmetric background. In this theory, the effective 4-dimensional action contains a kinetic term of the conformal scalar field related to a new scale much below the Planck mass. This property can overcome a strong coupling problem known to be present in general relativity supplemented by the trace anomaly as well as in 4-dimensional Einstein-Gauss-Bonnet gravity. We find a new hairy black hole solution arising from the Gauss-Bonnet trace anomaly, which satisfies regular boundary conditions of the conformal scalar and metric on the horizon. Unlike unstable exact black hole solutions with a divergent derivative of the scalar on the horizon derived for some related theories in the literature, we show that our hairy black hole solution can be consistent with all the linear stability conditions of odd- and even-parity perturbations.
arXiv comment14 pages, 1 figure
References in corpus (22)
- Generalized G-inflation: Inflation with the most general second-order field equations
- Dilatonic Black Holes in Higher Curvature String Gravity
- Einstein-Gauss-Bonnet gravity in 4-dimensional space-time
- Black hole hair in generalized scalar-tensor gravity
- General second order scalar-tensor theory, self tuning, and the Fab Four
- Rotating Black Holes in Dilatonic Einstein-Gauss-Bonnet Theory
- Are black holes in alternative theories serious astrophysical candidates? The case for Einstein-Dilaton-Gauss-Bonnet black holes
- Dilatonic Black Holes with Gauss-Bonnet Term
- Horndeski Gravity as Limit of Gauss-Bonnet
- Slowly-Rotating Black Holes in Einstein-Dilaton-Gauss-Bonnet Gravity: Quadratic Order in Spin Solutions
- Testing Scalar-Tensor Gravity with Gravitational-Wave Observations of Inspiralling Compact Binaries
- Dilatonic Black Holes in Higher-Curvature String Gravity II: Linear Stability
- Black hole perturbation in the most general scalar-tensor theory with second-order field equations I: The odd-parity sector
- Amplitudes and 4D Gauss-Bonnet Theory
- Black Holes in the Dilatonic Einstein-Gauss-Bonnet Theory in Various Dimensions I -- Asymptotically Flat Black Holes --
- Gravity with a generalized conformal scalar field: Theory and solutions
- Black Holes in the Scalar-Tensor Formulation of 4D Einstein-Gauss-Bonnet Gravity: Uniqueness of Solutions, and a New Candidate for Dark Matter
- Relativistic star perturbations in Horndeski theories with a gauge-ready formulation
- Inspiral gravitational waveforms from compact binary systems in Horndeski gravity
- Black hole perturbations in Maxwell-Horndeski theories
- Instability of hairy black holes in regularized 4-dimensional Einstein-Gauss-Bonnet gravity
- Conformal/Poincaré Coset, Cosmology, and Descendants of Lovelock Terms
Cited by in corpus (6)
- Rotating black holes in semiclassical gravity
- Angular and radial stabilities of spontaneously scalarized black holes in the presence of scalar-Gauss-Bonnet couplings
- Stability of Schwarzshild black holes in quadratic gravity with Weyl curvature domination
- Black Hole Quasi-Periodic Oscillations in the Presence of Gauss-Bonnet Trace Anomaly
- Strong coupling and instabilities in singularity-free inflation from an infinite sum of curvature corrections
- Inflation with the Trace Anomaly Action and Primordial Black Holes