There are no R3 x S1 Gravitational Instantons. / Shanahan, Hugh; O'Murachadha, Niall.

In: Physical Review Letters, Vol. 70, No. 11, 03.1993, p. 1576.

Research output: Contribution to journalArticlepeer-review

Published

Standard

There are no R3 x S1 Gravitational Instantons. / Shanahan, Hugh; O'Murachadha, Niall.

In: Physical Review Letters, Vol. 70, No. 11, 03.1993, p. 1576.

Research output: Contribution to journalArticlepeer-review

Harvard

Shanahan, H & O'Murachadha, N 1993, 'There are no R3 x S1 Gravitational Instantons', Physical Review Letters, vol. 70, no. 11, pp. 1576. https://doi.org/10.1103/PhysRevLett.70.1576

APA

Shanahan, H., & O'Murachadha, N. (1993). There are no R3 x S1 Gravitational Instantons. Physical Review Letters, 70(11), 1576. https://doi.org/10.1103/PhysRevLett.70.1576

Vancouver

Shanahan H, O'Murachadha N. There are no R3 x S1 Gravitational Instantons. Physical Review Letters. 1993 Mar;70(11):1576. https://doi.org/10.1103/PhysRevLett.70.1576

Author

Shanahan, Hugh ; O'Murachadha, Niall. / There are no R3 x S1 Gravitational Instantons. In: Physical Review Letters. 1993 ; Vol. 70, No. 11. pp. 1576.

BibTeX

@article{e27677164ea84a7498cbec8cee6e05fd,
title = "There are no R3 x S1 Gravitational Instantons",
abstract = "Graviational instantons, solutions to the Euclidean Einstein equations, with toplogy R3×S1 arise naturally in finite-temperature quantum gravity. It is shown here that all such instantons must have the same asymptotic structure as the Schwarzschild instanton. From this follows that if the Ricci tensor of such a manifold is non-negative it must be flat. Hence there is no nontrivial vacuum gravitational instanton on R3×S1. This places a significant restriction on the instabilities of hot flat space. Another consequence is that any static vacuum Lorentzian Kaluza-Klein solution is flat.",
author = "Hugh Shanahan and Niall O'Murachadha",
year = "1993",
month = mar,
doi = "10.1103/PhysRevLett.70.1576",
language = "English",
volume = "70",
pages = "1576",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "11",

}

RIS

TY - JOUR

T1 - There are no R3 x S1 Gravitational Instantons

AU - Shanahan, Hugh

AU - O'Murachadha, Niall

PY - 1993/3

Y1 - 1993/3

N2 - Graviational instantons, solutions to the Euclidean Einstein equations, with toplogy R3×S1 arise naturally in finite-temperature quantum gravity. It is shown here that all such instantons must have the same asymptotic structure as the Schwarzschild instanton. From this follows that if the Ricci tensor of such a manifold is non-negative it must be flat. Hence there is no nontrivial vacuum gravitational instanton on R3×S1. This places a significant restriction on the instabilities of hot flat space. Another consequence is that any static vacuum Lorentzian Kaluza-Klein solution is flat.

AB - Graviational instantons, solutions to the Euclidean Einstein equations, with toplogy R3×S1 arise naturally in finite-temperature quantum gravity. It is shown here that all such instantons must have the same asymptotic structure as the Schwarzschild instanton. From this follows that if the Ricci tensor of such a manifold is non-negative it must be flat. Hence there is no nontrivial vacuum gravitational instanton on R3×S1. This places a significant restriction on the instabilities of hot flat space. Another consequence is that any static vacuum Lorentzian Kaluza-Klein solution is flat.

U2 - 10.1103/PhysRevLett.70.1576

DO - 10.1103/PhysRevLett.70.1576

M3 - Article

VL - 70

SP - 1576

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 11

ER -