Dirac fields in 3D de Sitter spacetime

A. López-Ortega

doi:10.1023/B:GERG.0000022389.05399.6d

Dirac fields in 3D de Sitter spacetime

A. López-Ortega

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

We show that the Dirac equation is separable in the circularly symmetric metric in three dimensions and when the background spacetime is de Sitter we find exact solutions to the radial equations. Using these results we show that the de Sitter horizon has a cross section equal to zero for the massless Dirac field, as in the case of the scalar field. Also, using the improved brick wall model we calculate the fermionic entropy associated with the de Sitter horizon and we compare it with some results previously published.

Original language	English
Pages (from-to)	1299-1319
Number of pages	21
Journal	General Relativity and Gravitation
Volume	36
Issue number	6
DOIs	https://doi.org/10.1023/B:GERG.0000022389.05399.6d
State	Published - Jun 2004
Externally published	Yes

Keywords

3D de Sitter
Absorption
Brick wall model
Dirac field

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10.1023/B:GERG.0000022389.05399.6d

Cite this

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title = "Dirac fields in 3D de Sitter spacetime",

abstract = "We show that the Dirac equation is separable in the circularly symmetric metric in three dimensions and when the background spacetime is de Sitter we find exact solutions to the radial equations. Using these results we show that the de Sitter horizon has a cross section equal to zero for the massless Dirac field, as in the case of the scalar field. Also, using the improved brick wall model we calculate the fermionic entropy associated with the de Sitter horizon and we compare it with some results previously published.",

keywords = "3D de Sitter, Absorption, Brick wall model, Dirac field",

author = "A. L{\'o}pez-Ortega",

note = "Funding Information: The author would like to thank Dr. G. F. Torres del Castillo for valuable discussions while this work was in progress, and also for proofreading the manuscript. The author would also like to thank Dr. M. A. P{\'e}rez Ang{\'o}n and Dr. J. E. Rojas Marcial for their interest in this work. This work was partially supported by CONACyT and SNI, M{\'e}xico.",

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TY - JOUR

T1 - Dirac fields in 3D de Sitter spacetime

AU - López-Ortega, A.

N1 - Funding Information: The author would like to thank Dr. G. F. Torres del Castillo for valuable discussions while this work was in progress, and also for proofreading the manuscript. The author would also like to thank Dr. M. A. Pérez Angón and Dr. J. E. Rojas Marcial for their interest in this work. This work was partially supported by CONACyT and SNI, México.

PY - 2004/6

Y1 - 2004/6

N2 - We show that the Dirac equation is separable in the circularly symmetric metric in three dimensions and when the background spacetime is de Sitter we find exact solutions to the radial equations. Using these results we show that the de Sitter horizon has a cross section equal to zero for the massless Dirac field, as in the case of the scalar field. Also, using the improved brick wall model we calculate the fermionic entropy associated with the de Sitter horizon and we compare it with some results previously published.

AB - We show that the Dirac equation is separable in the circularly symmetric metric in three dimensions and when the background spacetime is de Sitter we find exact solutions to the radial equations. Using these results we show that the de Sitter horizon has a cross section equal to zero for the massless Dirac field, as in the case of the scalar field. Also, using the improved brick wall model we calculate the fermionic entropy associated with the de Sitter horizon and we compare it with some results previously published.

KW - 3D de Sitter

KW - Absorption

KW - Brick wall model

KW - Dirac field

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U2 - 10.1023/B:GERG.0000022389.05399.6d

DO - 10.1023/B:GERG.0000022389.05399.6d

M3 - Artículo

SN - 0001-7701

VL - 36

SP - 1299

EP - 1319

JO - General Relativity and Gravitation

JF - General Relativity and Gravitation

IS - 6

ER -

Dirac fields in 3D de Sitter spacetime

Abstract

Keywords

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