TY - JOUR
T1 - Violation of the cosmic no hair conjecture in the Einstein-Maxwell-dilaton system
AU - Maeda, Kengo
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2000
Y1 - 2000
N2 - The cosmic no hair conjecture is tested in the spherically symmetric Einstein-Maxwell-dilaton (EMD) system with a positive cosmological constant Λ. First, we analytically show that once gravitational collapse occurs in the massless dilaton case, the system of field equations breaks down inevitably in outer communicating regions or at the boundary provided that a future null infinity (Formula presented) exists. Next, we find numerically the static black hole solutions in the massive dilaton case and investigate their properties for comparison with the massless case. It is shown that their Abbott-Deser (AD) mass is infinite, which implies that a spacetime with finite AD mass does not approach a black hole solution after gravitational collapse. These results suggest that (Formula presented) cannot appear in the EMD system once gravitational collapse occurs and hence the cosmic no hair conjecture is violated in both the massless and massive cases, in contrast with general relativity.
AB - The cosmic no hair conjecture is tested in the spherically symmetric Einstein-Maxwell-dilaton (EMD) system with a positive cosmological constant Λ. First, we analytically show that once gravitational collapse occurs in the massless dilaton case, the system of field equations breaks down inevitably in outer communicating regions or at the boundary provided that a future null infinity (Formula presented) exists. Next, we find numerically the static black hole solutions in the massive dilaton case and investigate their properties for comparison with the massless case. It is shown that their Abbott-Deser (AD) mass is infinite, which implies that a spacetime with finite AD mass does not approach a black hole solution after gravitational collapse. These results suggest that (Formula presented) cannot appear in the EMD system once gravitational collapse occurs and hence the cosmic no hair conjecture is violated in both the massless and massive cases, in contrast with general relativity.
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U2 - 10.1103/PhysRevD.61.064012
DO - 10.1103/PhysRevD.61.064012
M3 - Article
AN - SCOPUS:16644373993
VL - 61
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
SN - 1550-7998
IS - 6
ER -