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Hawking into Unruh mapping for embeddings of hyperbolic type. / Paston, S.A.

In: Classical and Quantum Gravity, Vol. 32, No. 14, 2015.

Research output: Contribution to journal › Article

Harvard

Paston, SA 2015, 'Hawking into Unruh mapping for embeddings of hyperbolic type', Classical and Quantum Gravity, vol. 32, no. 14. https://doi.org/10.1088/0264-9381/32/14/145009

APA

Paston, S. A. (2015). Hawking into Unruh mapping for embeddings of hyperbolic type. Classical and Quantum Gravity, 32(14). https://doi.org/10.1088/0264-9381/32/14/145009

Vancouver

Paston SA. Hawking into Unruh mapping for embeddings of hyperbolic type. Classical and Quantum Gravity. 2015;32(14). https://doi.org/10.1088/0264-9381/32/14/145009

Author

Paston, S.A. / Hawking into Unruh mapping for embeddings of hyperbolic type. In: Classical and Quantum Gravity. 2015 ; Vol. 32, No. 14.

BibTeX

@article{e802dd48ce434a9db2926fd90fd0567b,
title = "Hawking into Unruh mapping for embeddings of hyperbolic type",
abstract = "{\textcopyright} 2015 IOP Publishing Ltd. We study the conditions of the existence of Hawking into Unruh mapping for hyperbolic (Fronsdal-type) metric embeddings into the Minkowski space, for which timelines are hyperbolas. Many examples are known for global embeddings into the Minkowskian spacetime (GEMS), with such mapping for physically interesting metrics with some symmetry. However, examples of embeddings, both smooth and hyperbolic, for which there is no mapping, were also given. In the present work we prove that Hawking into Unruh mapping takes place for a hyperbolic embedding of an arbitrary metric with a time-like Killing vector and a Killing horizon if the embedding of such type exists and smoothly covers the horizon. At the same time, we do not assume any symmetry (spherical, for example), except the time translational invariance, which corresponds to the existence of a time-like Killing vector. We show that the known examples of the absence of mapping do not satisfy the formulated conditions of its existence.",
author = "S.A. Paston",
year = "2015",
doi = "10.1088/0264-9381/32/14/145009",
language = "English",
volume = "32",
journal = "Classical and Quantum Gravity",
issn = "0264-9381",
publisher = "IOP Publishing Ltd.",
number = "14",

}

RIS

TY - JOUR

T1 - Hawking into Unruh mapping for embeddings of hyperbolic type

AU - Paston, S.A.

PY - 2015

Y1 - 2015

N2 - © 2015 IOP Publishing Ltd. We study the conditions of the existence of Hawking into Unruh mapping for hyperbolic (Fronsdal-type) metric embeddings into the Minkowski space, for which timelines are hyperbolas. Many examples are known for global embeddings into the Minkowskian spacetime (GEMS), with such mapping for physically interesting metrics with some symmetry. However, examples of embeddings, both smooth and hyperbolic, for which there is no mapping, were also given. In the present work we prove that Hawking into Unruh mapping takes place for a hyperbolic embedding of an arbitrary metric with a time-like Killing vector and a Killing horizon if the embedding of such type exists and smoothly covers the horizon. At the same time, we do not assume any symmetry (spherical, for example), except the time translational invariance, which corresponds to the existence of a time-like Killing vector. We show that the known examples of the absence of mapping do not satisfy the formulated conditions of its existence.

AB - © 2015 IOP Publishing Ltd. We study the conditions of the existence of Hawking into Unruh mapping for hyperbolic (Fronsdal-type) metric embeddings into the Minkowski space, for which timelines are hyperbolas. Many examples are known for global embeddings into the Minkowskian spacetime (GEMS), with such mapping for physically interesting metrics with some symmetry. However, examples of embeddings, both smooth and hyperbolic, for which there is no mapping, were also given. In the present work we prove that Hawking into Unruh mapping takes place for a hyperbolic embedding of an arbitrary metric with a time-like Killing vector and a Killing horizon if the embedding of such type exists and smoothly covers the horizon. At the same time, we do not assume any symmetry (spherical, for example), except the time translational invariance, which corresponds to the existence of a time-like Killing vector. We show that the known examples of the absence of mapping do not satisfy the formulated conditions of its existence.

U2 - 10.1088/0264-9381/32/14/145009

DO - 10.1088/0264-9381/32/14/145009

M3 - Article

VL - 32

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 14

ER -

ID: 3948967