Stealth Scalar Field Overflying a 2+1 Black Hole

Abstract

A nontrivial scalar field configuration of vanishing energy-momentum is reported. These matter configurations have no influence on the metric and therefore they are not be "detected" gravitationally. This phenomenon occurs for a time-dependent nonminimally coupled and self-interacting scalar field on the 2+1 (BTZ) black hole geometry. We conclude that such stealth configurations exist for the static 2+1 black hole for any value of the nonminimal coupling parameter $\zeta \ne 0$ with a fixed self-interaction potential $U_{\zeta }(\Phi )$. For the range $0<\zeta \le 1/2$ potentials are bounded from below and for the range $0<\zeta <1/4$ the stealth field falls into the black hole and is swallowed by it at an exponential rate, without any consequence for the black hole.

RevTeX, 7 pages, 10 figures; small changes to match published version

References in corpus (1)

• Birkhoff's Theorem for Three-Dimensional AdS Gravity

Cited by in corpus (74)

• Dressing a black hole with a time-dependent Galileon
• Black Hole Remnants and the Information Loss Paradox
• Black holes and stars in Horndeski theory
• Topological black holes dressed with a conformally coupled scalar field and electric charge
• Exploring AdS Waves Via Nonminimal Coupling
• Four-Dimensional Asymptotically AdS Black Holes with Scalar Hair
• Hairy Schwarzschild-(A)dS black hole solutions in DHOST theories beyond shift symmetry
• Gravitational Cheshire effect: Nonminimally coupled scalar fields may not curve spacetime
• Perturbations of Stealth Black Holes in DHOST Theories
• Electrically charged black hole with scalar hair
• Thermodynamics of a BTZ black hole solution with an Horndeski source
• On Rotating Black Holes in DHOST Theories
• The Jebsen-Birkhoff theorem in alternative gravity
• Black holes in a cubic Galileon universe
• Energy conditions in arbitrary dimensions
• Black hole solutions in shift-symmetric degenerate higher-order scalar-tensor theories
• Static and rotating solutions for Vector-Galileon theories
• A no-go theorem for slowly rotating black holes in Horava-Lifshitz gravity
• Black hole perturbations in modified gravity
• Three-dimensional black holes with conformally coupled scalar and gauge fields
• Topological black holes for Einstein-Gauss-Bonnet gravity with a nonminimal scalar field
• Static black hole solutions with a self interacting conformally coupled scalar field
• Nonlinear extensions of gravitating dyons: from NUT wormholes to Taub-Bolt instantons
• Jordan frame no-hair for spherical scalar-tensor black holes
• Planar AdS black holes in Lovelock gravity with a nonminimal scalar field
• Cosmology with Scalar-Euler form Coupling
• AdS black holes with arbitrary scalar coupling
• Black holes in New Massive Gravity dressed by a (non)minimally coupled scalar field
• A no-hair theorem for spherically symmetric black holes in $R^2$ gravity
• Plebanski-Demianski solutions in Quadratic gravity with conformally coupled scalar fields
• (Super-)renormalizably dressed black holes
• Analytic three-dimensional primary hair charged black holes and thermodynamics
• Rotating AdS black hole stealth solution in D=3
• Stealth configurations in vector-tensor theories of gravity
• Conformally coupled theories and their deformed compact objects: from black holes, radiating spacetimes to eternal wormholes
• The Conformal Stealth of any Standard Cosmology
• Conformal renormalization of scalar-tensor theories
• Spacetimes dressed with stealth electromagnetic fields
• Thermodynamics of black holes featuring primary scalar hair
• Thermodynamics of Lovelock black holes with a nonminimal scalar field
• General Black Hole Solutions in (2+1)-dimensions with a Scalar Field Non-Minimally Coupled to Gravity
• Creation of the universe with a stealth scalar field
• Nonlinearly charging the conformally dressed black holes preserving duality and conformal invariance
• Thermal stability of stealth and de Sitter spacetimes in scalar-tensor gravity
• Are stealth scalar fields stable?
• Cosmological stealths with nonconformal couplings
• Higher-dimensional AdS waves and pp-waves with conformally related sources
• Analogies between self-duality and stealth matter source
• Critical collapse in K-essence models
• Einstein-Maxwell gravity coupled to a scalar field in 2+1-dimensions
• Exact black-hole formation with a conformally coupled scalar field in three dimensions
• Black hole ringdown from physically sensible initial value problem in higher-order scalar-tensor theories
• Stealths on $(1+1)$-dimensional dilatonic gravity
• Electric/magnetic duality of dyonic Kerr-Newman-NUT-AdS spacetimes
• Rotating stealth black holes with a cohomogeneity-1 metric
• Non-Minimally Coupled Pseudoscalars in AdS_4 for Instantons in CFT_3
• To stealth or not to stealth: Thermodynamics of stealth black holes
• On symmetry inheritance of nonminimally coupled scalar fields
• Black holes in the quadratic-order extended vector-tensor theories
• Stealth black holes in Aether Scalar Tensor theory
• Microscopic entropy of static black holes in 3d Lovelock gravities
• Mimicking the LCDM model with Stealths
• Primordial black holes in a dimensionally oxidizing Universe
• Topological self-dual vacua of deformed gauge theories
• Gravitational Waves from Thurston Geometries
• Non-Noetherian conformal Cheshire effect
• Regular AdS${}_3$ black holes from regularized Gauss-Bonnet coupling
• Massive stealth scalar fields from field redefinition method
• Electromagnetically and gravitationally stealth fields
• A new rotating axionic AdS${}_4$ black hole dressed with a scalar field
• Kundt Gravitational Waves Coupled with a Non-Noetherian Conformal Scalar Field
• A new approach to the thermodynamics of scalar-tensor gravity
• Lifshitz black holes in four-dimensional Critical Gravity
• On quasinormal frequencies of black hole perturbations with an external source