Lagrangian density and local symmetries of inhomogeneous hyperconical universes


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Monjo, Robert and Campoamor Stursberg, Otto Ruttwig (2020) Lagrangian density and local symmetries of inhomogeneous hyperconical universes. Classical and Quantum Gravity, 37 (20). p. 205015. ISSN 0264-9381

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Hyperconical universes can be represented by means of an inhomogeneous metric with positive curvature and linear expansion, that is isomorph to flat universes with acceleration thanks to an appropriate transformation. Various symmetry properties of this metric are analysed, primarily at the local scale. In particular, the Lagrangian formalism and the Arnowitt-Deser-Misner (ADM) equations are applied. To this extent, a modified Gravity Lagrangian density is derived, from which the comoving paths as solutions of the Euler-Lagrange equations leading to a stationary linear expansion are deduced. It is shown that the evolution of this alternate metric is compatible with the ADM formalism when applied to the modified Lagrangian density, thanks to a redefinition of the energy density baseline(according to the global curvature). Finally, results on symmetry properties provide that only the angular momenta are global symmetries. The radial inhomogeneity of the metric is interpreted as an apparent radial acceleration, which breaks all the non-rotational local symmetries at large distances.

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This is the version of the article before peer review or editing, as submitted by an author to Classical and Quantum Gravity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at
Robert Monjo and Rutwig Campoamor-Stursberg 2020 Class. Quantum Grav. 37 205015

Uncontrolled Keywords:Modified Lagrangian density; Hyperconical Universe; Symmetry
Palabras clave (otros idiomas):Ecuaciones de Lagrange; Universo hipercónico; Simetría
Subjects:Sciences > Physics > Physics-Mathematical models
ID Code:63332
Deposited On:09 Dec 2020 15:14
Last Modified:09 Dec 2020 15:46

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