N-dimensional static and evolving Lorentzian wormholes with a cosmological constant

Journal Article · Tue Feb 15 00:00:00 EST 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.044050· OSTI ID:21511325

Cataldo, Mauricio; Meza, Paola; Minning, Paul ^[1]

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1. Departamento de Fisica, Facultad de Ciencias, Universidad del Bio-Bio, Avenida Collao 1202, Casilla 5-C, Concepcion (Chile)

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 p{sub r}={omega}{sub r{rho}}, where the state parameter {omega}{sub r} is constant. On the other hand, it is shown that, in any dimension N{>=}3, with {phi}(r)={Lambda}=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 but 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 constants, we have wormholes which expand forever, and, for negative cosmological constants, 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.

• OSTI ID: 21511325
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 4; Other Information: DOI: 10.1103/PhysRevD.83.044050; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACCELERATION
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COSMOLOGICAL CONSTANT
EQUATIONS OF STATE
EXPANSION
GRAVITATION
MATHEMATICAL SOLUTIONS
SIMULATION
SPACE-TIME
SYMMETRY
THREE-DIMENSIONAL CALCULATIONS
VELOCITY
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