Quantum theory of a neutrino field in the external gravitational field of a rotating collapsing object

1988 ◽  
Vol 77 (2) ◽  
pp. 1211-1220
Author(s):  
P. A. Bolashenko ◽  
V. P. Frolov
Keyword(s):  
Quantum Theory ◽  
Gravitational Field ◽  
External Gravitational Field ◽  
Neutrino Field

scholarly journals The Dirac Electron Consistent with Proper Gravitational and Electromagnetic Field of the Kerr–Newman Solution

Galaxies ◽  
2021 ◽  
Vol 9 (1) ◽  
pp. 18
Author(s):  
Alexander Burinskii
Keyword(s):  
Electromagnetic Field ◽  
Quantum Theory ◽  
Gravitational Field ◽  
Dirac Equation ◽  
Higgs Field ◽  
Vacuum State ◽  
Relativistic String ◽  
Dirac Equations ◽  
Dirac Electron ◽  
Relativistic Scattering

The Dirac electron is considered as a particle-like solution consistent with its own Kerr–Newman (KN) gravitational field. In our previous works we considered the regularized by López KN solution as a bag-like soliton model formed from the Higgs field in a supersymmetric vacuum state. This bag takes the shape of a thin superconducting disk coupled with circular string placed along its perimeter. Using the unique features of the Kerr–Schild coordinate system, which linearizes Dirac equation in KN space, we obtain the solution of the Dirac equations consistent with the KN gravitational and electromagnetic field, and show that the corresponding solution takes the form of a massless relativistic string. Obvious parallelism with Heisenberg and Schrödinger pictures of quantum theory explains remarkable features of the electron in its interaction with gravity and in the relativistic scattering processes.

“Prehistoric” Quantum Gravity

2020 ◽  
pp. 41-70
Author(s):  
Dean Rickles
Keyword(s):  
General Relativity ◽  
Quantum Theory ◽  
Gravitational Field ◽  
Quantum Gravity ◽  
Philosophical Nature

In this chapter we examine the very earliest work on the problem of quantum gravity (understood very liberally). We show that, even before the concept of the quantization of the gravitational field in 1929, there was a fairly lively investigation of the relationships between gravity and quantum stretching as far back as 1916, and certainly no suggestion that such a theory would not be forthcoming. Indeed, there are, rather, many suggestions explicitly advocating that an integration of quantum theory and general relativity (or gravitation, at least) is essential for future physics, in order to construct a satisfactory foundation. We also see how this belief was guided by a diverse family of underlying agendas and constraints, often of a highly philosophical nature.

scholarly journals Supersymmetric Nambu–Jona-Lasinio Model in an External Gravitational Field

1997 ◽  
Vol 12 (30) ◽  
pp. 2271-2277 ◽  
Author(s):  
I. L. Buchbinder ◽  
T. Inagaki ◽  
S. D. Odintsov
Keyword(s):  
Gravitational Field ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Effective Potential ◽  
Chiral Symmetry Breaking ◽  
Leading Order ◽  
Gravitational Fields ◽  
External Gravitational Field ◽  
Njl Model ◽  
Curvature Approximation

We investigate the effect of an external gravitational fields to the chiral symmetry breaking in the supersymmetric (SUSY) Nambu–Jona-Lasinio (NJL) model coupled to gravity in a non-supersymmetric way. Evaluating the effective potential in the leading order of the 1/Nc-expansion and in the linear curvature approximation, it is possible to have the chiral symmetry breaking in the SUSY NJL model in an external gravitational fields. In the broken phase the dynamically generated mass is analytically and numerically calculated.

The solutions of the Einstein equations for uniformly accelerated particles without nodal singularities. I. Freely falling particles in external fields

1983 ◽  
Vol 390 (1799) ◽  
pp. 397-409 ◽  
Keyword(s):  
Gravitational Field ◽  
Physical Interpretation ◽  
Einstein Equations ◽  
External Fields ◽  
Asymptotically Flat ◽  
External Gravitational Field ◽  
Accelerated Particles

Ernst’s procedure of removing the nodal singularity in the C-metric is applied to the solutions for uniformly accelerated particles of Bonnor & Swaminarayan ( Z . Phys . 177, 240 (1964)). A new solution representing two independent Curzon-Chazy particles falling freely in opposite directions in an external gravitational field is constructed. It is therefore not asymptotically flat. This solution is then shown to follow from the original solutions of Bonnor & Swaminarayan for two independent pairs of uniformly accelerated particles if a limiting procedure, namely removing one particle in each pair to infinity and increasing its mass simultaneously, is performed. In this manner, a clear physical interpretation is given both to generalized Bonnor & Swaminarayan solutions constructed here and to generalized C-metric solutions found by Ernst in 1978.

A Kerr black hole in the external gravitational field

1997 ◽  
Vol 230 (1-2) ◽  
pp. 7-11 ◽  
Author(s):  
Nora Bretón ◽  
Tatiana E. Denisova ◽  
Vladimir S. Manko
Keyword(s):  
Black Hole ◽  
Gravitational Field ◽  
Kerr Black Hole ◽  
External Gravitational Field
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