Scalar fields in a five-dimensional Lovelock black hole spacetime

Radiation fluxes of gravitational, electromagnetic, and scalar perturbations in type-D black holes: an exact approach

“…Therefore, he believes that providing explicit analytical expressions for C 1 and C 2 is an unsolved difficult problem in mathematics [34,119]. In the past decade, Bezerra and Vieira have dedicated their efforts to the exploration of Hawking radiation in scalar fields [120][121][122][123][124]. They also constructed a general solution similar to eq.…”

“…Solving D β ⊗ and D β ⊙ analytically is one of the key advantages of our general solutions, which is different from the general solutions of these literatures [34,37,38,[120][121][122][123][124]. It is also beneficial to extend the general solutions of homogeneous equations to inhomogeneous equations (2.1).…”

Some aspects of the five-dimensional Lovelock black hole spacetime: strong homotopy retract, perihelion precession and quasistationary levels

“…The angular line element dΩ 2 D−2 is associated with a (D − 2)-dimensional hypersurface with constant curvature, which correspond to the hyperbolic, flat or spherical spaces for k = −1, 0 or +1, respectively. In this work, we will deal with a five-dimensional spherically symmetric spacetime [10][11][12][13][14], so that…”

“…This angular line element describes a three-sphere, where 0 ≤ φ ≤ π, 0 ≤ θ ≤ π and 0 ≤ ϕ ≤ 2π. Thus, the metric of a five-dimensional Lovelock black hole spacetime can be written as [14]…”

“…where the subscript AH means "Apparent Horizon". In fact, the background under consideration has apparent horizons (not event horizons), which are the outermost marginally trapped surface for the outgoing photons (for a detailed review about the radiating black hole horizons, see [14] and references therein). However, for simplicity and convenience, without loss of generality, we can also refer to these solutions as the exterior, r + , and interior, r − , "event" horizons.…”