Gravitoelectromagnetically induced transitions in charged boson nebulae

Abstract

We derive approximating analytical solutions to the system of Klein-Gordon-Maxwell-Einstein equations, describing a minimally coupled charged boson to a spherically symmetric spacetime. Within a first-order perturbative approach, we generalize some previous results and write down the effective potential and the current, for the non-vanishing radial-momentum case. These can be actually employed in computing quantum transitions, such as the ones related to gravitoelectric particle creation. It can be noticed that the non-vanishing radial wave number affects both the effective potential, by a gravity-based dipole contribution, and the current. These lead to serious consequences regarding the actual dispersion, the continuity equation and the growth, and respectively decay, of the quantum mode-excitations.

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

“…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.…”

“…As mentioned in our previous paper [11], when a perturbative analysis is performed, a non-vanishing radial wave number, k, is destroying the hermiticity of the radial operator in the Klein-Gordon equation and is affecting the effective potential and the current. These led to serious consequences regarding the actual dispersion, the continuity equation and the growth, and respectively decay, of the quantum mode-excitations.…”

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