Regular black holes with phantom scalar hair are constrained by Solar System and EHT observations, with exact relations linking photon sphere Lyapunov exponent to shadow size and impact parameter.
Geodesic Study of Regular Hayward Black Hole
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abstract
This paper is devoted to study the geodesic structure of regular Hayward black hole. The timelike and null geodesic have been studied explicitly for radial and non-radial motion. For timelike and null geodesic in radial motion there exists analytical solution, while for non-radial motion the effective potential has been plotted, which investigates the position and turning points of the particle. It has been found that massive particle moving along timelike geodesics path are dragged towards the BH and continues move around BH in particular orbits.
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Timelike geodesics around asymptotically flat regular black holes with phantom scalar hair show shifted circular orbits, ISCO locations, and perihelion precession corrections proportional to the scalar charge A that can be constrained by Solar System observations.
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Observational Tests of Regular Black Holes with Scalar Hair and their Stability
Regular black holes with phantom scalar hair are constrained by Solar System and EHT observations, with exact relations linking photon sphere Lyapunov exponent to shadow size and impact parameter.
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Time Like Geodesics of Regular Black Holes with Scalar Hair
Timelike geodesics around asymptotically flat regular black holes with phantom scalar hair show shifted circular orbits, ISCO locations, and perihelion precession corrections proportional to the scalar charge A that can be constrained by Solar System observations.