Late-time behavior of massive Dirac fields in a Schwarzschild background

Jing, Jiliang

doi:10.1103/physrevd.70.065004

Cited by 79 publications

(63 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The general conclusion is that our formalism is suitable for describing the elastic fermion-black hole collisions for which we recover the entire phenomenology pointed out by analytical-numerical methods [22][23][24][25][26]. …”

Section: Discussionmentioning

confidence: 93%

“…Unfortunately, we have here only the asymptotic solutions (26) and (27) whose integration constants cannot be related to those of the approximative solutions near event horizon [27] without resorting to numerical methods [20][21][22][23][24][25][26]. Therefore, as long as we restrict ourselves only to an analytical study, we cannot match boundary conditions near the event horizon, being forced to find suitable asymptotic conditions for determining the integration constants.…”

Section: Asymptotic Conditions and Phase Shiftsmentioning

confidence: 99%

“…This is one of the reasons why the scattering of massive Dirac fermions by black holes was studied either in particular cases [20,21] or by using combined analytical and numerical methods [22][23][24][25][26]. Thus in Refs.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Partial wave analysis of the Dirac fermions scattered from Schwarzschild black holes

2016

View full text Add to dashboard Cite

Asymptotic analytic solutions of the Dirac equation, giving the scattering modes (of the continuous energy spectrum, E > mc 2 ) in Schwarzschild's chart and Cartesian gauge, are used for building the partial wave analysis of Dirac fermions scattered by black holes. In this framework, the analytic expressions of the differential cross section and induced polarization degree are derived in terms of scattering angle, mass of the black hole, and energy and mass of the fermion. Moreover, the closed form of the absorption cross section due to the scattering modes is derived showing that in the high-energy limit this tends to the event horizon area regardless of the fermion mass (including zero). A graphical study presents the differential cross section analyzing the forward/backward scattering (known also as glory scattering) and the polarization degree as functions of scattering angle. The graphical analysis shows the presence of oscillations in scattering intensity around forward/backward directions, phenomena known as spiral scattering. The energy dependence of the differential cross section is also established by using analytical and graphical methods.

show abstract

Section: Discussionmentioning

confidence: 93%

Section: Asymptotic Conditions and Phase Shiftsmentioning

confidence: 99%

See 1 more Smart Citation

Partial wave analysis of the Dirac fermions scattered from Schwarzschild black holes

2016

View full text Add to dashboard Cite

show abstract

“…The problem of the quantum fermions scattered from Schwarzschild black holes was studied either in particular cases [1,2] or by using combined analytical and numerical methods [3][4][5][6][7]. Recently we performed an analytic study of this process proposing a version of partial wave analysis that allowed us to write down closed formulas for the scattering amplitudes and cross sections [8].…”

Section: Introductionmentioning

confidence: 99%

Partial wave analysis of the Dirac fermions scattered from Reissner–Nordström charged black holes

2016

View full text Add to dashboard Cite

The asymptotic form of Dirac spinors in the field of the Reissner-Nordström black hole is derived for the scattering states (with E > mc 2 ) obtaining the phase shifts of the partial wave analysis of Dirac fermions scattered from charged black holes. Elastic scattering and absorption are studied giving analytic formulas for the partial amplitudes and cross sections. A graphical study is performed for analyzing the differential cross section (forward/backward scattering) and the polarization degrees as functions of the scattering angle.

show abstract

“…However, despite of this difficulty, interesting results were obtained using suitable analytical and numerical methods [1]- [3].…”

mentioning

confidence: 99%

Approximative Analytical Solutions of the Dirac Equation in Schwarzschild Spacetime

Cotăescu

2007

Mod. Phys. Lett. A

View full text Add to dashboard Cite

Approximative analytic solutions of the Dirac equation in the geometry of Schwarzschild black holes are derived obtaining information about the discrete energy levels and the asymptotic behavior of the energy eigenspinors.Pacs: 04.62.+vThe problem of the Dirac perturbations in the gravitational field of a Schwarzschild black hole is less studied since the free Dirac equation in this geometry is not analytically solvable at least in the systems of coordinates and tetrad gauge fixings used until now. However, despite of this difficulty, interesting results were obtained using suitable analytical and numerical methods [1]- [3].In this letter we would like to consider this problem in a new conjecture in which the local frames of the central static charts are defined by the tetrad fields we have proposed some time ago [4,5]. This tetrad gauge shows off the central symmetry as a global one such that the separation of the spherical variables can be done as in special relativity [6]. After the separation of the angular variables we remain with a pair of simple radial equations depending *

show abstract

Late-time behavior of massive Dirac fields in a Schwarzschild background

Cited by 79 publications

References 28 publications

Partial wave analysis of the Dirac fermions scattered from Schwarzschild black holes

Partial wave analysis of the Dirac fermions scattered from Schwarzschild black holes

Partial wave analysis of the Dirac fermions scattered from Reissner–Nordström charged black holes

Approximative Analytical Solutions of the Dirac Equation in Schwarzschild Spacetime

Contact Info

Product

Resources

About