Tidal forces in the charged Hayward black hole spacetime

TL;DR

This paper investigates the tidal forces in the charged Hayward black hole spacetime, revealing unique behaviors such as vanishing and sign-changing tidal forces, and analyzing their effects on infalling bodies.

Contribution

It provides the first detailed analysis of tidal forces and geodesic deviation in the charged Hayward regular black hole spacetime, highlighting differences from Schwarzschild black holes.

Findings

Radial and angular tidal forces can vanish and change sign.

Tidal forces remain finite at the origin in this regular black hole.

Derived the geodesic deviation vector for infalling dust bodies.

Abstract

Tidal forces produced by black holes are an important result of General Relativity, related to the spacetime curvature tensor. Among the astrophysical implications of tidal forces, stands out tidal disruption events. We analyze the tidal forces in the spacetime of an electrically charged Hayward regular black hole, obtaining the components of the tidal tensor and the geodesic deviation equation. We find that the radial and angular tidal forces may vanish and change sign, unlike in the Schwarzschild spacetime. We note that tidal forces are finite at the origin of the radial coordinate in this regular black hole spacetime. We obtain the geodesic deviation vector for a body constituted of dust infalling towards the black hole with two different initial conditions.