The integral of the mass-energy density m of a closed Robertson–Walker (RW) spacetime with source a perfect fluid and cosmological constant Λ gives rise to an action functional on the space of scale functions of RW spacetime metrics. This paper studies closed RW spacetimes which are critical for this functional, subject to volume-preserving variations (m-critical RW universes). A complete classification of m-critical RW universes is given and explicit solutions in terms of Weierstrass elliptic functions and their degenerate forms are computed. The standard energy conditions (weak, dominant, and strong) as well as the cyclic property of m-critical RW universes are discussed.

Critical Robertson–Walker universes / Eshkobilov, Olimjon; Musso, Emilio; Nicolodi, Lorenzo. - In: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS. - ISSN 0926-2245. - ELETTRONICO. - 66:(2019), pp. 23-41. [10.1016/j.difgeo.2019.05.008]

Critical Robertson–Walker universes

Eshkobilov, Olimjon;Musso, Emilio;
2019

Abstract

The integral of the mass-energy density m of a closed Robertson–Walker (RW) spacetime with source a perfect fluid and cosmological constant Λ gives rise to an action functional on the space of scale functions of RW spacetime metrics. This paper studies closed RW spacetimes which are critical for this functional, subject to volume-preserving variations (m-critical RW universes). A complete classification of m-critical RW universes is given and explicit solutions in terms of Weierstrass elliptic functions and their degenerate forms are computed. The standard energy conditions (weak, dominant, and strong) as well as the cyclic property of m-critical RW universes are discussed.
File in questo prodotto:
File Dimensione Formato  
critical_RW_spacetimes_1 copia 2.pdf

accesso aperto

Descrizione: preprint dell'autore
Tipologia: 1. Preprint / submitted version [pre- review]
Licenza: PUBBLICO - Tutti i diritti riservati
Dimensione 560.85 kB
Formato Adobe PDF
560.85 kB Adobe PDF Visualizza/Apri
1-s2.0-S0926224518302894-main.pdf

non disponibili

Tipologia: 2a Post-print versione editoriale / Version of Record
Licenza: Non Pubblico - Accesso privato/ristretto
Dimensione 516.43 kB
Formato Adobe PDF
516.43 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
Pubblicazioni consigliate

Caricamento pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11583/2734818
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo