THE WEIERSTRASS CRITERION AND THE LEMAÎTRE–TOLMAN–BONDI MODELS WITH COSMOLOGICAL CONSTANT Λ-Reference-Cited by-同舟云学术

THE WEIERSTRASS CRITERION AND THE LEMAÎTRE–TOLMAN–BONDI MODELS WITH COSMOLOGICAL CONSTANT Λ

Published:2011-11 Issue:07 Volume:08 Page:1653-1666
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

BOCHICCHIO IVANA¹,CAPOZZIELLO SALVATORE²,LASERRA ETTORE¹

Affiliation:

1. Dipartimento di Matematica ed Informatica, Universitá degli Studi di Salerno, Via Ponte Don Melillo, 84084 Fisciano (SA), Italy

2. Dipartimento di Scienze Fisiche, Universitá di Napoli "Federico II", and INFN Sez. di Napoli, Compl. Univ. di Monte S. Angelo, Edificio G, Via Cinthia, I-80126, Napoli, Italy

Abstract

We analyze Lemaître–Tolman–Bondi models in presence of the cosmological constant Λ through the classical Weierstrass criterion. Precisely, we show that the Weierstrass approach allows us to classify the dynamics of these inhomogeneous spherically symmetric Universes taking into account their relationship with the sign of Λ.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887811005865

Reference21 articles.

1. On the mechanical analogy between the relativistic evolution of a spherical dust universe and the classical motion of falling bodies

2. Evolution of dust shells in Tolman–Bondi space–time according to the Weierstrass approach

3. Weierstrass’s criterion and compact solitary waves

4. Spherically symmetric static inhomogeneous cosmological models

Cited by 11 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Average Zero-expansion Regions of the Universe;Acta Physica Polonica B Proceedings Supplement;2023

2. Cosmological piecewise functions to treat the local Hubble tension;The European Physical Journal Plus;2022-07

3. Scenario of the evolution of the universe with equation of state of the Weierstrass type gas;Journal of Physics: Conference Series;2019-11-01

4. Analogy between equilibrium beach profiles and closed universes;Physical Review Research;2019-10-01

5. Critical Robertson–Walker universes;Differential Geometry and its Applications;2019-10