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Wicked metrics

delete2019-04-26
delete32
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OA
AI
A
Alessio Baldazzi *
R
Roberto Percacci
V
Vedran Skrinjar
DOI：10.1088/1361-6382/ab187ddelete
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Abstract

Abstract

En 中文
There are various ways of defining the Wick rotation in a gravitational context. In order to preserve the manifold structure, it would be preferable to view it as an analytic continuation of the metric, instead of the coordinates. We focus on one very general definition and show that it is not always compatible with the additional requirements of preserving the field equations and the symmetries at global level. The counterexamples are the de Sitter and Schwarzschild metrics: requiring that their Euclidean continuations satisfy Einstein's equations and have the same number of Killing vectors, we find that the Euclidean metric cannot be defined on the original Lorentzian manifold but only on a submanifold. This phenomenon seems to be due to the existence of horizons.
Keywords:
Wick rotation
quantum gravity
De Sitter space
Schwarzschild spacetime
Killing vectors
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Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.

Journal

Classical and Quantum Gravity cover
Classical and Quantum Gravity
IF:
3.7
Papers:
1.3W
Citations:
3.0W

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