Geodesic Motion of Test Particles around the Scalar Hairy Black Holes with Asymmetric Vacua

Abstract

An asymptotically flat hairy black hole (HBH) can exhibit distinct characteristics when compared to the Schwarzschild black hole, due to the evasion of no-hair theorem by minimally coupling the Einstein gravity with a scalar potential which possesses asymmetric vacua, i.e, a false vacuum $(\varphi =0)$ and a true vacuum $(\varphi ={\varphi }_1)$. In this paper, we investigate the geodesic motion of both massive test particles and photons in the vicinity of HBH with ${\varphi }_1=0.5$ and ${\varphi }_1=1.0$ by analyzing their effective potentials derived from the geodesic equation. By fixing ${\varphi }_1$, the effective potential of a massive test particle increases monotonically when its angular momentum $L$ is very small. When $L$ increases to a critical value, the effective potential possesses an inflection point which is known as the innermost stable of circular orbit (ISCO), where the test particle can still remain stable in a circular orbit with a minimal radius without being absorbed by the HBH or fleeing to infinity. Beyond the critical value of $L$, the effective potential possesses a local minimum and a local maximum, indicating the existence of unstable and stable circular orbits, respectively. Moreover, the HBH possesses an unstable photon sphere but its location slightly deviates from the Schwarzschild black hole. The trajectories of null geodesics in the vicinity of HBH can also be classified into three types, which are the direct, lensing and photon sphere, based on the deflection angle of light, but the values of impact parameters can vary significantly than the Schwarzschild black hole.

arXiv comment11 pages with total 11 figures

References in corpus (39)

• Black Hole Shadows, Photon Rings, and Lensing Rings
• Exact black hole solution with a minimally coupled scalar field
• Phase transitions near black hole horizons
• Complete analytic solution of the geodesic equation in Schwarzschild--(anti) de Sitter space--times
• Motion of test particles in a regular black hole space--time
• Geodesic motion in Euclidean Schwarzschild geometry
• Exact Black-Hole Solution With Self-Interacting Scalar Field
• Exact Hairy Black Holes and their Modification to the Universal Law of Gravitation
• YNOGK: A new public code for calculating null geodesics in the Kerr spacetime
• Innermost stable circular orbit of spinning particle in charged spinning black hole background
• Scalar Deformations of Schwarzschild Holes and Their Stability
• Merger estimates for rotating Kerr black holes in modified gravity
• Motion of the charged test particles in Kerr-Newman-Taub-NUT spacetime and analytical solutions
• Dynamics of test particles in the general five-dimensional Myers-Perry spacetime
• A study of geodesic motion in a (2+1)-dimensional charged BTZ black hole
• Analytic solutions of the geodesic equation for Einstein-Maxwell-dilaton-axion black holes
• Analytic solutions for the motion of spinning particles near spherically symmetric black holes and exotic compact objects
• Motion of charged particles around a magnetized/electrified black hole
• Kerr Geodesics in Terms of Weierstrass Elliptic Functions
• Null and time-like geodesics in Kerr-Newman black hole exterior
• Precessing and periodic timelike orbits and their potential applications in Einsteinian cubic gravity
• Tidal Love numbers and approximate universal relations for fermion soliton stars
• Fermion Soliton Stars with Asymmetric Vacua
• Scalar hairy black holes and scalarons in the isolated horizons formalism
• ynogkm: A New Public Code For Calculating time-like Geodesics In The Kerr-Newmann Spacetime
• Black Holes with Scalar Hair in Three Dimensions
• Spherically symmetric configurations of General Relativity in presence of scalar field: separation of test body circular orbits
• Investigation the geodesic motion of three dimensional rotating black holes
• Scalar Hairy Black Holes with Inverted Mexican Hat Potential
• Motion of spinning particles around a polymer black hole in loop quantum gravity
• Homoclinic orbits in Kerr-Newman black holes
• The simplest model of a scalarized black hole in the Einstein-Klein-Gordon theory
• Charged hairy black holes in the gauged Einstein-Friedberg-Lee-Sirlin model
• Analytic solutions of the geodesic equation for U(1)^2 dyonic rotating black holes
• Gravitating Scalarons with Inverted Higgs Potential
• Hypocycloid motion in the Melvin magnetic universe
• Geodesic Motion in the Spacetime Of a SU(2)-Colored (A)dS Black Hole in Conformal Gravity
• Geodesic motion around a supersymmetric AdS5 black hole
• Probing light scalars with not quite black holes

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