nd gravity with n 2 killing vectors tonatiuh matos http www fis cinvestav mx tmatos
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nD Gravity with n-2 Killing vectors Tonatiuh Matos http://www.fis.cinvestav.mx/~tmatos/. nD-Einstein equations with n-2 commuting Killing vectors Chiral fields The invariance group of chiral fields. Methods of solutions. The nD-Einstein equations with n-2 commuting Killing Vectors.

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nd gravity with n 2 killing vectors tonatiuh matos http www fis cinvestav mx tmatos
nD Gravity with n-2 Killing vectors Tonatiuh Matoshttp://www.fis.cinvestav.mx/~tmatos/
  • nD-Einstein equations with n-2 commuting Killing vectors
  • Chiral fields
  • The invariance group of chiral fields.
  • Methods of solutions
in vacuum
In vacuum
  • Implies:
the matter components of the universe
The matter components of the Universe
  • Concordance!!.
  • M ~ 0.27  0.1,
  •  ~ 0.73  0.1
  • 0 ~ 1.
  • The matter component
  • M = b +  +  ~
  • 0.04 + DM,
  • where DM ~ 0.23.
  • but
  • DM ni  ??.

DM + ~ 0.96

the dark energy
The Dark Energy
  • p= r
  • =A0+A1a=0+a z/(1+z)
  • Constante Cosmológica: 0 = -1, 1 = 0
  • Quintessence: f
  • Phantom: K=-,,
  • Quintom: f1 + f2
5d gravity
5D Gravity
  • Potential Space
the metric and the lagrangian
The metric and the Lagrangian
  • The equivalent Lagrangian
the ansatz
The ansatz

A= A(i)

  • And the Killing equation:
the harmonic maps
The harmonic maps
  • The monopole:
  • The dipole:
the rotating solutions
The rotating solutions
  • The gravitational potential:
  • The scalar field potential:
wormholes
Wormholes
  • Pelicula
wormholes3
Wormholes
  • Pelicula
wormhole rotante
Wormhole Rotante
  • Ejemplo: J=10-10,
  • Entonces 1» 1.4£105
  • Para una estrella fantasma (phantom) con la masa de la tierra, la carga escalar es q0.003 mPlank por metro.
  • v- = 15 km/seg
  • v+ = 7 c
across the universe2
Across the Universe

Las palabras surgen a raudales como una lluvia infinita en un vaso de papel Se deslizan al pasar Desaparecen a través del universo Charcos de tristeza, olas de alegría flotan en mi mente abierta Poseyéndome y acariciándome Jai Guru De Va Om Nada cambiará mi mundo Nada cambiará mi mundo Imágenes de luz que bailan ante mí como un millón de ojos Que me llaman y me llaman a través del universo Pensamientos serpenteando como un viento inquieto en un buzón Tambaleándose ciegamente mientras hacen su camino a través del universo Jai Guru De Va Om Nada cambiará mi mundo Nada cambiará mi mundo Sonidos de risas y sombras de tierra suenan a través de mi vista abierta Incitándome e invitándome Un amor eterno y sin límites brilla a mí alrededor como un millón de soles Llamándome y llamándome a través del universo Jai Guru De Va Om Nada cambiará mi mundo Nada cambiará mi mundo

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and
  • Magnetic monopole
  • ω= sin()
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