Gravitational analog of the canonical acoustic black hole in Einstein-scalar-Gauss-Bonnet theory

Abstract

In this work, in the context of modified gravity, a curved spacetime analogous to the "canonical acoustic black hole" is constructed. The source is a self-interacting scalar field which is non-minimally coupled to gravity through the Gauss-Bonnet invariant. The scalar-Gauss-Bonnet coupling function is characterized by three positive parameters: $\sigma$ with units of $(length)$, $\mu$ with units of $(length{)}^4$, and a dimensionless parameter $s$, thus defining a three-parameter model for which the line element of canonical acoustic black hole is a solution. The spacetime is equipped with spherical and static symmetry and has a single horizon determined in Schwarzschild coordinates by the region $r={\mu }^{1/4}$. The solution admits a photon sphere at $r=(3\mu {)}^{1/4}$, and it is shown that in the region $(3\mu {)}^{1/4}\le r<\infty$ the scalar field satisfies the null, weak, and strong energy conditions. Nonetheless, the model with $s=1$ has major physical relevance since for this case the scalar field is well defined in the entire region $r\ge {\mu }^{1/4}$, while for $s\ne 1$ the scalar field blows up on the horizon.

12 pages, 7 figures

References in corpus (19)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
• First M87 Event Horizon Telescope Results. II. Array and Instrumentation
• First M87 Event Horizon Telescope Results. III. Data Processing and Calibration
• Fiber-optical analogue of the event horizon
• Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
• String-inspired Gauss-Bonnet gravity reconstructed from the universe expansion history and yielding the transition from matter dominance to dark energy
• Black Holes in Modified Gravity (MOG)
• Gauss-Bonnet Quintessence: Background Evolution, Large Scale Structure and Cosmological Constraints
• Fundamental photon orbits: black hole shadows and spacetime instabilities
• Upper bound on the radii of black-hole photonspheres
• Non-Minimally Coupled Einstein Gauss Bonnet Inflation Phenomenology in View of GW170817
• Large and Ultra-compact Gauss-Bonnet Black Holes with a Self-interacting Scalar Field
• On the Size of a Black Hole: The Schwarzschild is the Biggest
• Quasinormal modes and Regge poles of the canonical acoustic hole
• A novel exact magnetic black hole solution in four-dimensional extended scalar-tensor-Gauss-Bonnet theory
• Quasinormal Modes and Late-Time Tails of Canonical Acoustic Black Holes

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