Matches in SemOpenAlex for { <https://semopenalex.org/work/W2002078374> ?p ?o ?g. }
- W2002078374 abstract "The similarity between Finsler and Riemann geometry is an intriguing starting point to extend general relativity. The lack of quadratic restriction over the line element (color) naturally generalizes the Riemannian case and breaks the local symmetries of general relativity. In addition, the Finsler manifold is enriched with new geometric entities, and all the classical identities are suitably extended. We investigate the covariant kinematics of a medium formed by a timelike congruence. After a brief view in the general case, we impose particular geometric restrictions to get some analytic insight. A central role to our analysis plays the Lie derivative, where even in the case of irrotational Killing vectors the bundle still deforms. We demonstrate an example of an isotropic and exponentially expanding cross section that finally deflates or forms a caustic. Furthermore, using the $1+3$ covariant formalism we investigate the expansion dynamics of the congruence. For certain geometric restrictions we retrieve the Raychaudhuri equation where a color-curvature coupling is revealed. The condition to prevent the focusing of neighboring particles is given and is more likely to be fulfilled in highly curved regions. Then, we introduce the Levi-Civita connection for the osculating Riemannian metric and develop a (spatially) isotropic and homogeneous dustlike model with a nonsingular bounce." @default.
- W2002078374 created "2016-06-24" @default.
- W2002078374 creator A5002996222 @default.
- W2002078374 creator A5007753213 @default.
- W2002078374 creator A5029700076 @default.
- W2002078374 date "2012-12-11" @default.
- W2002078374 modified "2023-10-01" @default.
- W2002078374 title "Covariant kinematics and gravitational bounce in Finsler space-times" @default.
- W2002078374 cites W1507957822 @default.
- W2002078374 cites W1519452692 @default.
- W2002078374 cites W1519486775 @default.
- W2002078374 cites W15330580 @default.
- W2002078374 cites W1558888813 @default.
- W2002078374 cites W1603160974 @default.
- W2002078374 cites W1820827608 @default.
- W2002078374 cites W1975114584 @default.
- W2002078374 cites W1977988008 @default.
- W2002078374 cites W1978721641 @default.
- W2002078374 cites W1983811792 @default.
- W2002078374 cites W1987281251 @default.
- W2002078374 cites W1987508706 @default.
- W2002078374 cites W1988177033 @default.
- W2002078374 cites W1989512396 @default.
- W2002078374 cites W1997550392 @default.
- W2002078374 cites W1998687650 @default.
- W2002078374 cites W2000211848 @default.
- W2002078374 cites W2007024215 @default.
- W2002078374 cites W2007452132 @default.
- W2002078374 cites W2011487840 @default.
- W2002078374 cites W2018240334 @default.
- W2002078374 cites W2020011167 @default.
- W2002078374 cites W2022523071 @default.
- W2002078374 cites W2029484273 @default.
- W2002078374 cites W2033121272 @default.
- W2002078374 cites W2034692316 @default.
- W2002078374 cites W2036786858 @default.
- W2002078374 cites W2038915951 @default.
- W2002078374 cites W2039424452 @default.
- W2002078374 cites W2044629718 @default.
- W2002078374 cites W2047524353 @default.
- W2002078374 cites W2051483988 @default.
- W2002078374 cites W2052570890 @default.
- W2002078374 cites W2052943473 @default.
- W2002078374 cites W2053805622 @default.
- W2002078374 cites W2056226797 @default.
- W2002078374 cites W2062933413 @default.
- W2002078374 cites W2066740427 @default.
- W2002078374 cites W2072055778 @default.
- W2002078374 cites W2073968346 @default.
- W2002078374 cites W2078896402 @default.
- W2002078374 cites W2085436243 @default.
- W2002078374 cites W2088675245 @default.
- W2002078374 cites W2092278615 @default.
- W2002078374 cites W2092963173 @default.
- W2002078374 cites W2093172812 @default.
- W2002078374 cites W2095512716 @default.
- W2002078374 cites W2106541247 @default.
- W2002078374 cites W2109983247 @default.
- W2002078374 cites W2115900617 @default.
- W2002078374 cites W2124901232 @default.
- W2002078374 cites W2136068577 @default.
- W2002078374 cites W2136116536 @default.
- W2002078374 cites W2145169159 @default.
- W2002078374 cites W2146406584 @default.
- W2002078374 cites W2154373800 @default.
- W2002078374 cites W2156460339 @default.
- W2002078374 cites W2162288958 @default.
- W2002078374 cites W2330930529 @default.
- W2002078374 cites W3023455416 @default.
- W2002078374 cites W3037249162 @default.
- W2002078374 cites W3037613900 @default.
- W2002078374 cites W3037732899 @default.
- W2002078374 cites W3098997105 @default.
- W2002078374 cites W3099509985 @default.
- W2002078374 cites W3101057206 @default.
- W2002078374 cites W3102687339 @default.
- W2002078374 cites W3103755082 @default.
- W2002078374 cites W3103838624 @default.
- W2002078374 cites W3103854867 @default.
- W2002078374 cites W3104268620 @default.
- W2002078374 cites W3104950930 @default.
- W2002078374 cites W3105119279 @default.
- W2002078374 cites W3106254717 @default.
- W2002078374 cites W3124274661 @default.
- W2002078374 cites W4210954748 @default.
- W2002078374 cites W4230748309 @default.
- W2002078374 doi "https://doi.org/10.1103/physrevd.86.124025" @default.
- W2002078374 hasPublicationYear "2012" @default.
- W2002078374 type Work @default.
- W2002078374 sameAs 2002078374 @default.
- W2002078374 citedByCount "33" @default.
- W2002078374 countsByYear W20020783742013 @default.
- W2002078374 countsByYear W20020783742014 @default.
- W2002078374 countsByYear W20020783742015 @default.
- W2002078374 countsByYear W20020783742016 @default.
- W2002078374 countsByYear W20020783742017 @default.
- W2002078374 countsByYear W20020783742018 @default.
- W2002078374 countsByYear W20020783742019 @default.
- W2002078374 countsByYear W20020783742020 @default.
- W2002078374 countsByYear W20020783742021 @default.