RT Journal Article T1 Lagrangian density and local symmetries of inhomogeneous hyperconical universes A1 Monjo Agut, Robert A1 Campoamor Stursberg, Otto-Rudwig AB 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. PB IOP SN 0264-9381 YR 2020 FD 2020-09-22 LK https://hdl.handle.net/20.500.14352/7588 UL https://hdl.handle.net/20.500.14352/7588 LA eng NO 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 https://doi.org/10.1088/1361-6382/abadaf.Robert Monjo and Rutwig Campoamor-Stursberg 2020 Class. Quantum Grav. 37 205015 NO Ministerio de Ciencia, Innovación y Universidades (España)/Fondo Europeo de Desarrollo Regional DS Docta Complutense RD 8 abr 2026