Yet another family of diagonal metrics for de Sitter and anti-de Sitter spacetimes

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10370252" target="_blank" >RIV/00216208:11320/17:10370252 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1103/PhysRevD.95.124052" target="_blank" >http://dx.doi.org/10.1103/PhysRevD.95.124052</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevD.95.124052" target="_blank" >10.1103/PhysRevD.95.124052</a>

Result language
angličtina
Original language name
Yet another family of diagonal metrics for de Sitter and anti-de Sitter spacetimes
Original language description
In this work we present and analyze a new class of coordinate representations of de Sitter and anti-de Sitter spacetimes for which the metrics are diagonal and (typically) static and axially symmetric. Contrary to the well-known forms of these fundamental geometries, that usually correspond to a 1 + 3 foliation with the 3-space of a constant spatial curvature, the new metrics are adapted to a 2 + 2 foliation, and are warped products of two 2-spaces of constant curvature. This new class of (anti-)de Sitter metrics depends on the value of cosmological constant Lambda and two discrete parameters +1, 0, -1 related to the curvature of the 2-spaces. The class admits 3 distinct subcases for Lambda > 0 and 8 subcases for Lambda < 0. We systematically study all these possibilities. In particular, we explicitly present the corresponding parametrizations of the (anti-)de Sitter hyperboloid, visualize the coordinate lines and surfaces within the global conformal cylinder, investigate their mutual relations, present some closely related forms of the metrics, and give transformations to standard de Sitter and anti-de Sitter metrics. Using these results, we also provide a physical interpretation of B-metrics as exact gravitational fields of a tachyon.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10300 - Physical sciences

Project
<a href="/en/project/GA17-01625S" target="_blank" >GA17-01625S: Spacetimes and Fields in Einstein's Theory of Gravity and its Generalizations</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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