Tidal effects in 4D Einstein-Gauss-Bonnet Black Hole Spacetime

TL;DR

This paper explores how tidal forces and geodesic deviation in 4D Einstein-Gauss-Bonnet black holes vary with the coupling constant, revealing significant differences from classical black hole solutions.

Contribution

It provides the first detailed analysis of tidal effects in 4D Einstein-Gauss-Bonnet spacetime, highlighting the dependence on the coupling constant's sign and magnitude.

Findings

Tidal forces are stronger with negative coupling and weaker with positive coupling.

Tidal behavior resembles Schwarzschild for negative coupling and Reissner-Nordström for positive.

Geodesic deviation varies significantly with initial conditions and coupling constant.

Abstract

We have investigated tidal forces and geodesic deviation motion in the 4D-Einstein-Gauss-Bonnet spacetime. Our results show that tidal force and geodesic deviation motion depend sharply on the sign of Gauss-Bonnet coupling constant. Comparing with Schwarzschild spacetime, the strength of tidal force becomes stronger for the negative Gauss-Bonnet coupling constant, but is weaker for the positive one. Moreover, tidal force behaves like those in the Schwarzschild spacetime as the coupling constant is negative, and like those in Reissner-Nordstr\"{o}m black hole as the constant is positive. We also present the change of geodesic deviation vector with Gauss-Bonnet coupling constant under two kinds of initial conditions.