Geodesics and geodesic deviation in static charged black holes

Abstract

The radial motion along null geodesics in static charged black hole space-times, in particular, the Reissner-Nordström and stringy charged black holes are studied. We analyzed the properties of the effective potential. The circular photon orbits in these space-times are investigated. We found that the radius of circular photon orbits in both charged black holes are different and differ from that given in Schwarzschild space-time. We studied the physical effects of the gravitational field between two test particles in stringy charged black hole and compared the results with that given in Schwarzschild and Reissner-Nordström black holes.

Geodesic motion in Schwarzschild spacetime surrounded by quintessence

“…The study of geodesic deviation not only enables to understand the physical effects of the gravitational field but one can also get a clear idea about the effect of quintessence field on the geometry of the space time. We follow the method of [49], in order to derive the equation of geodesic deviation (Jacobi field equation) …”

“…Letting the basis to be propagated along the time-like geodesic i.e. e a 0 = v a and e 1 a ,e 2 a ,e 3 a orthogonal to v a (see for more details [49]) and the orthogonal connecting vector, η a can be expressed as η a = η α e a α and η 0 = e 0 α η α = 0, connecting two neighbouring particles in free fall. Here η α = (η r , η θ , η φ ) are the space-like components of η a .…”

The Geodesic Motion Near Hypersurfaces in the Warped Products Spacetime

“…Recently, null geodesics and hidden symmetries in the Sen black hole was investigated by Hioki and Miyamoto [11], which is reduced to the GMGHS black hole in the nonrotating limit. Gad [12] also studied geodesic and geodesic deviation of the GMGHS black hole solution. Very recently, Fernando [13] fully investigated null geodesic motions of the same solution both in the Einstein and string frame.…”

The warped product approach to magnetically charged GMGHS spacetime

“…The constant c 1 represents the total energy per unit rest mass of a particle as measured by a static observer [4,15,16], and c 2 represents the angular momentum in the GMGHS spacetimes. The equations for r and φ are obtained from Eqs.…”

“…Null geodesics and hidden symmetries in the Sen black hole was investigated by Hioki and Miyamoto [3], and Gad [4] studied both geodesic equations and geodesic deviation of the GMGHS black hole solution. Fernando [5] investigated null geodesic motions of the same solution both in the Einstein and string frame.…”