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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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 &gt; 0 and 8 subcases for Lambda &lt; 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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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 &gt; 0 and 8 subcases for Lambda &lt; 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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10300 - Physical sciences

Projekt

<a href="/cs/project/GA17-01625S" target="_blank" >GA17-01625S: Prostoročasy a pole v Einsteinově teorii gravitace a jejích zobecněních</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physical Review D

ISSN

2470-0010

e-ISSN

—

Svazek periodika

95

Číslo periodika v rámci svazku

12

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

29

Strana od-do

—

Kód UT WoS článku

000404475100006

EID výsledku v databázi Scopus

2-s2.0-85022337926