About: Interpreting spacetimes of any dimension using geodesic deviation

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://dx.doi.org/10.1103/PhysRevD.85.044057
Description	We present a general method that can be used for geometrical and physical interpretation of an arbitrary spacetime in four or any higher number of dimensions. It is based on the systematic analysis of relative motion of free test particles. We demonstrate that the local effect of the gravitational field on particles, as described by the equation of geodesic deviation with respect to a natural orthonormal frame, can always be decomposed into a canonical set of transverse, longitudinal and Newton-Coulomb-type components, isotropic influence of a cosmological constant, and contributions arising from specific matter content of the Universe. In particular, exact gravitational waves in Einstein's theory always exhibit themselves via purely transverse effects with D(D - 3)/2 independent polarization states. To illustrate the utility of this approach, we study the family of pp-wave spacetimes in higher dimensions and discuss specific measurable effects on a detector located in four spacetime dimensions. For example, the corresponding deformations caused by generic higher-dimensional gravitational waves observed in such physical subspace need not be trace-free. We present a general method that can be used for geometrical and physical interpretation of an arbitrary spacetime in four or any higher number of dimensions. It is based on the systematic analysis of relative motion of free test particles. We demonstrate that the local effect of the gravitational field on particles, as described by the equation of geodesic deviation with respect to a natural orthonormal frame, can always be decomposed into a canonical set of transverse, longitudinal and Newton-Coulomb-type components, isotropic influence of a cosmological constant, and contributions arising from specific matter content of the Universe. In particular, exact gravitational waves in Einstein's theory always exhibit themselves via purely transverse effects with D(D - 3)/2 independent polarization states. To illustrate the utility of this approach, we study the family of pp-wave spacetimes in higher dimensions and discuss specific measurable effects on a detector located in four spacetime dimensions. For example, the corresponding deformations caused by generic higher-dimensional gravitational waves observed in such physical subspace need not be trace-free. (en)
Title	Interpreting spacetimes of any dimension using geodesic deviation Interpreting spacetimes of any dimension using geodesic deviation (en)
skos:prefLabel	Interpreting spacetimes of any dimension using geodesic deviation Interpreting spacetimes of any dimension using geodesic deviation (en)
skos:notation	RIV/00216208:11320/12:10128277!RIV13-GA0-11320___
http://linked.open...avai/riv/aktivita	P S Z
http://linked.open...avai/riv/aktivity	P(GAP203/12/0118), P(GD205/09/H033), S, Z(MSM0021620860)
http://linked.open...iv/cisloPeriodika	4
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Švarc, Robert Podolský, Jiří
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	142681
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/12:10128277
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	riemann tensor; vacuum solutions; physical significance; null-geodesics; general-relativity; cosmological constant; gravitational-waves; nonuniform black strings; einstein-maxwell theory; indefinite line-element (en)
http://linked.open.../riv/klicoveSlovo	einstein-maxwell theory general-relativity gravitational-waves indefinite line-element nonuniform black strings null-geodesics physical significance riemann tensor vacuum solutions cosmological constant
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[B9D6EFF5D67B]
http://linked.open...i/riv/nazevZdroje	Physical Review D - Particles, Fields, Gravitation and Cosmology
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	General relativity and its applications in astrophysics and cosmology Spacetimes and Fields in Higher Dimensional and Classical Gravity
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	85
http://linked.open...iv/tvurceVysledku	Podolský, Jiří Švarc, Robert
http://linked.open...ain/vavai/riv/wos	000300665200006
http://linked.open...n/vavai/riv/zamer	Fyzikální studium objektů a procesů ve sluneční soustavě a v astrofyzikálních systémech
issn	1550-7998
number of pages	18 (xsd:int)
http://bibframe.org/vocab/doi	10.1103/PhysRevD.85.044057
http://localhost/t...ganizacniJednotka	11320

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