Black hole in the expanding universe with arbitrary power-law expansion

Journal Article · Tue Jun 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.124038· OSTI ID:21413227

Maeda, Kei-ichi ^[1]; Nozawa, Masato ^[1]

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1. Department of Physics, Waseda University, Okubo 3-4-1, Shinjuku, Tokyo 169-8555 (Japan)

We present a time-dependent and spatially inhomogeneous solution that interpolates the extremal Reissner-Nordstroem (RN) black hole and the Friedmann-Lemaitre-Robertson-Walker (FLRW) universe with arbitrary power-law expansion. It is an exact solution of the D-dimensional Einstein-Maxwell-dilaton system, where two Abelian gauge fields couple to the dilaton with different coupling constants, and the dilaton field has a Liouville-type exponential potential. It is shown that the system satisfies the weak energy condition. The solution involves two harmonic functions on a (D-1)-dimensional Ricci-flat base space. In the case where the harmonics have a single-point source on the Euclidean space, we find that the spacetime describes a spherically symmetric charged black hole in the FLRW universe, which is characterized by three parameters: the steepness parameter of the dilaton potential n{sub T}, the U(1) charge Q, and the nonextremality {tau}. In contrast with the extremal RN solution, the spacetime admits a nondegenerate Killing horizon unless these parameters are finely tuned. The global spacetime structures are discussed in detail.

• OSTI ID: 21413227
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 12; Other Information: DOI: 10.1103/PhysRevD.81.124038; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
BLACK HOLES
COUPLING CONSTANTS
EINSTEIN-MAXWELL EQUATIONS
EUCLIDEAN SPACE
EXACT SOLUTIONS
EXPANSION
HARMONICS
ONE-DIMENSIONAL CALCULATIONS
POINT SOURCES
SIMULATION
SPACE-TIME
SYMMETRY
TIME DEPENDENCE
U-1 GROUPS
UNIVERSE
EQUATIONS
FIELD EQUATIONS
LIE GROUPS
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
OSCILLATIONS
RADIATION SOURCES
RIEMANN SPACE
SPACE
SYMMETRY GROUPS
U GROUPS