Publicación: N-DIMENSIONAL STATIC AND EVOLVING LORENTZIAN WORMHOLES WITH A COSMOLOGICAL CONSTANT
Fecha
2011
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Editor
PHYSICAL REVIEW D
Resumen
WE PRESENT A FAMILY OF STATIC AND EVOLVING SPHERICALLY SYMMETRIC LORENTZIAN WORMHOLE SOLUTIONS IN N+1 DIMENSIONAL EINSTEIN GRAVITY. IN GENERAL, FOR STATIC WORMHOLES, WE REQUIRE THAT AT LEAST THE RADIAL PRESSURE HAS A BAROTROPIC EQUATION OF STATE OF THE FORM PR=?R?, WHERE THE STATE PARAMETER ?R IS CONSTANT. ON THE OTHER HAND, IT IS SHOWN THAT IN ANY DIMENSION N?3, WITH ?(R)=?=0 AND ANISOTROPIC BAROTROPIC PRESSURE WITH CONSTANT STATE PARAMETERS, STATIC WORMHOLE CONFIGURATIONS ARE ALWAYS ASYMPTOTICALLY FLAT SPACETIMES, WHILE IN 2+1 GRAVITY THERE ARE NOT ONLY ASYMPTOTICALLY FLAT STATIC WORMHOLES AND ALSO MORE GENERAL ONES. IN THIS CASE, THE MATTER SUSTAINING THE THREE-DIMENSIONAL WORMHOLE MAY BE ONLY A PRESSURELESS FLUID. IN THE CASE OF EVOLVING WORMHOLES WITH N?3, THE PRESENCE OF A COSMOLOGICAL CONSTANT LEADS TO AN EXPANSION OR CONTRACTION OF THE WORMHOLE CONFIGURATIONS: FOR POSITIVE COSMOLOGICAL CONSTANT WE HAVE WORMHOLES WHICH EXPAND FOREVER AND, FOR NEGATIVE COSMOLOGICAL CONSTANT WE HAVE WORMHOLES WHICH EXPAND TO A MAXIMUM VALUE AND THEN RECOLLAPSE. IN THE ABSENCE OF A COSMOLOGICAL CONSTANT THE WORMHOLE EXPANDS WITH CONSTANT VELOCITY, I.E WITHOUT ACCELERATION OR DECELERATION. IN 2+1 DIMENSIONS THE EXPANDING WORMHOLES ALWAYS HAVE AN ISOTROPIC AND HOMOGENEOUS PRESSURE, DEPENDING ONLY ON THE TIME COORDINATE.
