Transition rates in charged boson nebulae

Abstract

Using the first-order approximating solutions to the Einstein-Maxwell-Klein-Gordon system of equations for a complex scalar field minimally coupled to a spherically symmetric spacetime, we study the feedback of gravity and electric field on the charged scalar source. Within a perturbative approach, we compute, in the radiation zone, the transition amplitudes and the coherent source-field regeneration rate.

Semiclassical analytic estimation of charged boson nebulae mass and the gravitationally radiated flux

“…which accounts quite well for the missing 24 orders of magnitude in the electromagnetic radiation which has been discussed in [10], in comparison to the gravitational one, which now comes in fair agreement with the standard reference paper [13]. For a fully detailed analysis of gravitational waves emitted from stable, critical, and unstable boson star configurations, using a series of numerical simulations, we recommend the paper [14].…”

“…As presented in [12], the boson stars have been intensively studied in many different contexts by involving mainly numerical techniques. In the present paper, we generalize some of our previous results, [9][10][11], and derive the first-order approximate solutions to the system of Klein-Gordon-Maxwell-Einstein non-linear equations describing the minimally coupled spinless field to a spherically symmetric spacetime. By employing the generalized metric functions (16), we have obtained the time-dependent boson nebula mass (38), expressed in terms of the model parameters.…”

“…is the energy-momentum tensor, their expressions have been derived in our previous papers [9][10][11].…”

“…The dimensionless amplitude-factor N has been set to j Nj 2 ¼ 1=q 2 , [10], while the constant M is given by…”

“…These led to serious consequences regarding the actual dispersion, the continuity equation and the growth, and respectively decay, of the quantum mode-excitations. That is why, in our previous papers, [10], we have concentrated on the particular case k ¼ 0, for which the metric functions got the simplified form (17), and analysed the feedback of gravity and electric field on the Klein-Gordon equations. There, within a first-order perturbative approach, the basic Klein-Gordon equation (5) turned into the form…”