Interaction of Neutrinos and Gravitational Fields

Brill, Dieter R.; Wheeler, John Archibald

doi:10.1103/revmodphys.29.465

Cited by 641 publications

(557 citation statements)

References 16 publications

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“…Then k is vertical since k = L ξ h for ξ = grad φ (a non-zero gradient vector-field is never Killing on a compact Σ), and also horizontal since k satisfies (13). Such ξ clearly span an infinite-dimensional subspace in the kernel of D 1 .…”

Section: Geometry Of Superspacementioning

confidence: 99%

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The Superspace of geometrodynamics

Giulini

2009

Gen Relativ Gravit

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Section: Geometry Of Superspacementioning

confidence: 99%

“…When does that work? Well, according to (13), the condition for k − V ξ to be horizontal for given k is equivalent to the following differential equation for ξ :…”

Section: Geometry Of Superspacementioning

confidence: 99%

The Superspace of geometrodynamics

Giulini

2009

Gen Relativ Gravit

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“…One of the first papers about the subject was Taub's study of the Dirac equation in various cosmological spaces [2]. Brill and Wheeler dealt with neutrinos in gravitational fields [3]. The quantization of a spinor field in an expanding universe was considered by Parker [4], and the quantization of gravity coupled to a spinor was addressed in [5,6].…”

Section: Introductionmentioning

confidence: 99%

Spinors, Inflation, and Non-Singular Cyclic Cosmologies

Armendariz-Picon

Greene

2003

General Relativity and Gravitation

138

161

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We consider toy cosmological models in which a classical, homogeneous, spinor field provides a dominant or sub-dominant contribution to the energy-momentum tensor of a flat FriedmannRobertson-Walker universe. We find that, if such a field were to exist, appropriate choices of the spinor self-interaction would generate a rich variety of behaviors, quite different from their widely studied scalar field counterparts. We first discuss solutions that incorporate a stage of cosmic inflation and estimate the primordial spectrum of density perturbations seeded during such a stage. Inflation driven by a spinor field turns out to be unappealing as it leads to a blue spectrum of perturbations and requires considerable fine-tuning of parameters. We next find that, for simple, quartic spinor self-interactions, non-singular cyclic cosmologies exist with reasonable parameter choices. These solutions might eventually be incorporated into a successful past-and future-eternal cosmological model free of singularities. In an Appendix, we discuss the classical treatment of spinors and argue that certain quantum systems might be approximated in terms of such fields.

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“…The Dirac equation was investigated for massless spinor fields in curved space-time more than 50 years ago [6]. Spinor fields can be used to describe the primordial inflation [7] and current expansion [8].…”

Section: Introductionmentioning

confidence: 99%

Accelerating and decelerating cosmology from spinor and scalar fields non-minimally coupled with f(R) gravity

Rybalov

Макаренко

Осетрин

2013

Astrophys Space Sci

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In this paper we investigate the accelerating and decelerating cosmological models with nonlinear spinor fields and non-minimal interaction of f (R) gravity with a scalar field. We combine two different approaches to the description of dark energy: modified gravity theory and introduction of the additional fields. Solutions for the FRW universe with power-law scale factor are reconstructed for the model under consideration with specific choice for scalar and spinor potentials. It is explained the role of scalar and spinor potentials as well as f(R) function for emergence of accelerating or decelerating cosmology.

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Interaction of Neutrinos and Gravitational Fields

Cited by 641 publications

References 16 publications

The Superspace of geometrodynamics

The Superspace of geometrodynamics

Spinors, Inflation, and Non-Singular Cyclic Cosmologies

Accelerating and decelerating cosmology from spinor and scalar fields non-minimally coupled with f(R) gravity

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