Wave dynamics of phantom scalar perturbation in the background of Schwarzschild black hole

Abstract

Using Leaver's continue fraction and time domain method, we investigate the wave dynamics of phantom scalar perturbation in the background of Schwarzschild black hole. We find that the presence of the negative kinetic energy terms modifies the standard results in quasinormal spectrums and late-time behaviors of the scalar perturbations. The phantom scalar perturbation in the latetime evolution will grow with an exponential rate.

Dynamical evolution of phantom scalar perturbation in the Schwarzschild black string spacetime

“…The form of the effective potential V (r) (2.7) for the phantom scalar perturbation is similar to that in the Schwarzschild black hole spacetime [17], but there is an additional "mass" term k 2 in V (r), which originates from the compact fifth dimension of a Schwarzschild black string. The presence of the term k 2 changes the behavior of the effective potential V (r) of the phantom scalar field.…”

“…As in Refs. [17,23], we only consider the case κ = 0 for conveniently. Thus, varying the action with respect to ψ, we obtain the wave equation for phantom scalar field in the curve spacetime…”

“…This is a serious threat to the cosmic censorship conjecture [15,16] . In our previous paper [17], we studied that the wave dynamics of the phantom scalar perturbation in the Schwarzschild black hole spacetime. Our result shows that in the late-time evolution the phantom scalar perturbation grows with an exponential rate rather than decays as the usual scalar perturbations [18,19,20,21,22].…”

Influence of a brane tension on phantom and massive scalar field emission

“…In what follows we shall study the latter candidate for dark energy which is interesting because of its negative kinetic energy. The Lagrangian for the phantom field is given by Bronikov and Fabris [47], and Chen et al [48] …”

Testing gravity of a regular and slowly rotating phantom black hole by quasi-periodic oscillations

“…We studied dynamical evolution of the phantom scalar perturbation in the Schwarzschild black hole spacetime and found that the phantom scalar perturbation grows with an exponential rate in the late-time evolution, which differs from the decay of the usual scalar perturbations in the background of a black hole [16][17][18]. Moreover, some black hole solutions describing gravity coupled to phantom scalar fields or phantom Maxwell fields have been found and the corresponding geometric structure and thermodynamic properties are also studied in [19][20][21][22][23][24][25][26][27][28].…”