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Relation between quantum effects in General Relativity and embedding theory. / Paston, S.A.

In: Theoretical and Mathematical Physics, Vol. 185, No. 1, 2015, p. 1502-1515.

Research output: Contribution to journal › Article

Harvard

Paston, SA 2015, 'Relation between quantum effects in General Relativity and embedding theory', Theoretical and Mathematical Physics, vol. 185, no. 1, pp. 1502-1515. https://doi.org/10.1007/s11232-015-0359-y

APA

Paston, S. A. (2015). Relation between quantum effects in General Relativity and embedding theory. Theoretical and Mathematical Physics, 185(1), 1502-1515. https://doi.org/10.1007/s11232-015-0359-y

Vancouver

Paston SA. Relation between quantum effects in General Relativity and embedding theory. Theoretical and Mathematical Physics. 2015;185(1):1502-1515. https://doi.org/10.1007/s11232-015-0359-y

Author

Paston, S.A. / Relation between quantum effects in General Relativity and embedding theory. In: Theoretical and Mathematical Physics. 2015 ; Vol. 185, No. 1. pp. 1502-1515.

BibTeX

@article{ea3a8850742b45bf94b25a56838f0d87,
title = "Relation between quantum effects in General Relativity and embedding theory",
abstract = "We discuss results relevant to the relation between quantum effects in a Riemannian space and on the surface appearing as a result of its isometric embedding in a flat space of a higher dimension. We discuss the correspondence between the Hawking effect fixed by an observer in the Riemannian space with a horizon and the Unruh effect related to an accelerated motion of this observer in the ambient space. We present examples for which this correspondence holds and examples for which there is no correspondence. We describe the general form of the hyperbolic embedding of the metric with a horizon smoothly covering the horizon and prove that there is a correspondence between the Hawking and Unruh effects for this embedding. We also discuss the possibility of relating two-point functions in a Riemannian space and the ambient space in which it is embedded. We obtain restrictions on the geometric parameters of the embedding for which such a relation is known.",
keywords = "embedding theory, correspondence between the Hawking and Unruh effects, isometric embedding, Hawking radiation, Unruh effect",
author = "S.A. Paston",
year = "2015",
doi = "10.1007/s11232-015-0359-y",
language = "English",
volume = "185",
pages = "1502--1515",
journal = "Theoretical and Mathematical Physics (Russian Federation)",
issn = "0040-5779",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Relation between quantum effects in General Relativity and embedding theory

AU - Paston, S.A.

PY - 2015

Y1 - 2015

N2 - We discuss results relevant to the relation between quantum effects in a Riemannian space and on the surface appearing as a result of its isometric embedding in a flat space of a higher dimension. We discuss the correspondence between the Hawking effect fixed by an observer in the Riemannian space with a horizon and the Unruh effect related to an accelerated motion of this observer in the ambient space. We present examples for which this correspondence holds and examples for which there is no correspondence. We describe the general form of the hyperbolic embedding of the metric with a horizon smoothly covering the horizon and prove that there is a correspondence between the Hawking and Unruh effects for this embedding. We also discuss the possibility of relating two-point functions in a Riemannian space and the ambient space in which it is embedded. We obtain restrictions on the geometric parameters of the embedding for which such a relation is known.

AB - We discuss results relevant to the relation between quantum effects in a Riemannian space and on the surface appearing as a result of its isometric embedding in a flat space of a higher dimension. We discuss the correspondence between the Hawking effect fixed by an observer in the Riemannian space with a horizon and the Unruh effect related to an accelerated motion of this observer in the ambient space. We present examples for which this correspondence holds and examples for which there is no correspondence. We describe the general form of the hyperbolic embedding of the metric with a horizon smoothly covering the horizon and prove that there is a correspondence between the Hawking and Unruh effects for this embedding. We also discuss the possibility of relating two-point functions in a Riemannian space and the ambient space in which it is embedded. We obtain restrictions on the geometric parameters of the embedding for which such a relation is known.

KW - embedding theory

KW - correspondence between the Hawking and Unruh effects

KW - isometric embedding

KW - Hawking radiation

KW - Unruh effect

U2 - 10.1007/s11232-015-0359-y

DO - 10.1007/s11232-015-0359-y

M3 - Article

VL - 185

SP - 1502

EP - 1515

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 1

ER -

ID: 3973418