Self-Similarity Breaking of Cosmological Solutions with Collisionless Matter

Ho Lee; Ernesto Nungesser

doi:10.1007/s00023-018-0678-2

Self-Similarity Breaking of Cosmological Solutions with Collisionless Matter

Ho Lee
, Ernesto Nungesser

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

In this paper we consider the Einstein–Vlasov system with Bianchi VII₀ symmetry. Under the assumption of small data we show that self-similarity breaking occurs for reflection symmetric solutions. This generalizes the previous work concerning the non-tilted fluid case (Wainwright et al. in Class Quantum Gravity 16:2577–2598, 1999) to the Vlasov case, and we obtain detailed information about the late-time behaviour of metric and matter terms.

Original language	English
Pages (from-to)	2137-2155
Number of pages	19
Journal	Annales Henri Poincare
Volume	19
Issue number	7
DOIs	https://doi.org/10.1007/s00023-018-0678-2
Publication status	Published - 1 Jul 2018

Bibliographical note

Publisher Copyright:
© 2018, Springer International Publishing AG, part of Springer Nature.

Access to Document

10.1007/s00023-018-0678-2

Cite this

@article{c4a32b0845234f6eaa2abf000ce60dcd,

title = "Self-Similarity Breaking of Cosmological Solutions with Collisionless Matter",

abstract = "In this paper we consider the Einstein–Vlasov system with Bianchi VII0 symmetry. Under the assumption of small data we show that self-similarity breaking occurs for reflection symmetric solutions. This generalizes the previous work concerning the non-tilted fluid case (Wainwright et al. in Class Quantum Gravity 16:2577–2598, 1999) to the Vlasov case, and we obtain detailed information about the late-time behaviour of metric and matter terms.",

author = "Ho Lee and Ernesto Nungesser",

note = "Publisher Copyright: {\textcopyright} 2018, Springer International Publishing AG, part of Springer Nature.",

year = "2018",

month = jul,

day = "1",

doi = "10.1007/s00023-018-0678-2",

language = "English",

volume = "19",

pages = "2137--2155",

journal = "Annales Henri Poincare",

issn = "1424-0637",

publisher = "Birkhauser",

number = "7",

}

TY - JOUR

T1 - Self-Similarity Breaking of Cosmological Solutions with Collisionless Matter

AU - Lee, Ho

AU - Nungesser, Ernesto

PY - 2018/7/1

Y1 - 2018/7/1

N2 - In this paper we consider the Einstein–Vlasov system with Bianchi VII0 symmetry. Under the assumption of small data we show that self-similarity breaking occurs for reflection symmetric solutions. This generalizes the previous work concerning the non-tilted fluid case (Wainwright et al. in Class Quantum Gravity 16:2577–2598, 1999) to the Vlasov case, and we obtain detailed information about the late-time behaviour of metric and matter terms.

AB - In this paper we consider the Einstein–Vlasov system with Bianchi VII0 symmetry. Under the assumption of small data we show that self-similarity breaking occurs for reflection symmetric solutions. This generalizes the previous work concerning the non-tilted fluid case (Wainwright et al. in Class Quantum Gravity 16:2577–2598, 1999) to the Vlasov case, and we obtain detailed information about the late-time behaviour of metric and matter terms.

UR - https://www.scopus.com/pages/publications/85045847233

U2 - 10.1007/s00023-018-0678-2

DO - 10.1007/s00023-018-0678-2

M3 - Article

AN - SCOPUS:85045847233

SN - 1424-0637

VL - 19

SP - 2137

EP - 2155

JO - Annales Henri Poincare

JF - Annales Henri Poincare

IS - 7

ER -

Self-Similarity Breaking of Cosmological Solutions with Collisionless Matter

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this