A BKL singularity is a model of the dynamic evolution of the Universe near the initial singularity, described by an anisotropic, homogeneous, chaotic solution to Einstein's field equations of gravitation. According to this model, the Universe is oscillating around a singular point in which time and space become equal to zero. This singularity is physically real in the sense that it is a necessary property of the solution, and will appear also in the exact solution of those equations.

PropertyValue
dbpprop:G
  • a^2b^2c^2v^2=t^2v^2 \,
dbpprop:\alphaN
  • -\delta_n \Omega_n \,
dbpprop:\alpha+\beta+\gamma
  • -\Omega,\,
dbpprop:\delta\barL
  • \Delta \eta.
dbpprop:\gammaN
  • -\Omega_n (1 - \delta_n). \,
dbpprop:\lambda1\mu2\lambda2\mu
  • \sin y, \quad s_1 + s_2 = 1. \,
dbpprop:\omega
  • -\ln t.\,
dbpprop:\psi
  • \rho^2\xi^2 \,
dbpprop:\varkappa
  • 2\dot G / G, \quad \lambda = 2G^\prime / G.
dbpprop:a
  • e^\alpha,\ b=e^\beta,\ c=e^\gamma,
dbpprop:abstract
  • A BKL singularity is a model of the dynamic evolution of the Universe near the initial singularity, described by an anisotropic, homogeneous, chaotic solution to Einstein's field equations of gravitation. According to this model, the Universe is oscillating around a singular point in which time and space become equal to zero. This singularity is physically real in the sense that it is a necessary property of the solution, and will appear also in the exact solution of those equations. The singularity is not artificially created by the assumptions and simplifications made by the other well-known special solutions such as the Friedmann–Lemaître–Robertson–Walker, quasi-isotropic, and Kasner solutions. The Mixmaster universe is a solution to general relativity that exhibits properties similar to those discussed by BKL.
  • Une singularité BKL est une solution de vide, asymétrique et chaotique aux équations de champs d'Einstein conjecturée pour représenter la géométrie intérieure réelle d'un trou noir « physique » formé par effondrement gravitationnel. L'univers mixmaster est une solution à la relativité générale qui présente les propriétés similaires à celles discutées par la singularité BKL.
dbpprop:dt
  • abc\ d\tau.
dbpprop:equationnoteProperty
  • eq. 102
  • eq. 107
  • eq. 26
  • eq. 27
  • eq. 64
  • 26 (xsd:integer)
  • 27 (xsd:integer)
  • 64 (xsd:integer)
  • 102 (xsd:integer)
  • 107 (xsd:integer)
dbpprop:g
  • \xi \sin y.\,
  • f_1 ( x, y, \xi + z ) + f_2 ( x, y, \xi - z ).\,
dbpprop:harvnbProperty
  • Belinsky
  • Khalatnikov
  • Lifshitz
  • 1963 (xsd:integer)
  • 1970 (xsd:integer)
dbpprop:harvtxtProperty
  • Landau
  • Lifshitz
  • 1988 (xsd:integer)
dbpprop:hasPhotoCollection
dbpprop:l1M2+L2M
  • \sin y, \,
dbpprop:loc
  • Appendix A
  • Appendix B
  • Appendix C
  • Classical Field Theory, Ch. 101
  • Classical Field Theory, Ch. 103-105
  • Section 117, Flat anisotropic model
  • Section 97, Synchronous reference frame
dbpprop:numblkProperty
  • :
  • W(k) \approx 1 / k^2 \ln 2.
dbpprop:p1+p2+p
  • p_1^2+p_2^2+p_3^2=1.
dbpprop:p'L
  • \frac
dbpprop:redirect3Property
  • BKL conjecture
dbpprop:reference
dbpprop:uN
  • k + x - 1 - n, \quad n = 0, 1, \cdots, k - 1,
dbpprop:wikiPageUsesTemplate
dbpprop:wikibooksProperty
  • BKL singularity
  • General relativity
rdfs:comment
  • A BKL singularity is a model of the dynamic evolution of the Universe near the initial singularity, described by an anisotropic, homogeneous, chaotic solution to Einstein's field equations of gravitation. According to this model, the Universe is oscillating around a singular point in which time and space become equal to zero. This singularity is physically real in the sense that it is a necessary property of the solution, and will appear also in the exact solution of those equations.
  • Une singularité BKL est une solution de vide, asymétrique et chaotique aux équations de champs d'Einstein conjecturée pour représenter la géométrie intérieure réelle d'un trou noir « physique » formé par effondrement gravitationnel. L'univers mixmaster est une solution à la relativité générale qui présente les propriétés similaires à celles discutées par la singularité BKL.
rdfs:label
  • BKL singularity
  • Singularité BKL
owl:sameAs
skos:subject
foaf:page
is dbpprop:redirect of