TY - JOUR

T1 - Is the cosmic no hair conjecture true in the Einstein-Maxwell-dilaton system?

AU - Maeda, Kengo

AU - Narita, Makoto

AU - Suzuki, Shingo

AU - Torii, Takashi

N1 - Funding Information:
We express our special thanks to Gary W. Gibbons and Ted Jacobson for stimulative discussions and for giving us an appropriate interpretation for our results. We are also grateful to Akio Hosoya and Kei-ichi Maeda for providing us with continuous encouragement. This work is partially supported by Scienti c Research Fund of the Ministry of Education, Science, Sports, and Culture, by the Grant-in-Aid for JSPS [No. 199906147].

PY - 2001/4/10

Y1 - 2001/4/10

N2 - We investigate the gravitational collapsing phenomenon in the spherically symmetric Einstein-Maxwell-dilaton system with a positive cosmological constant. As a preparation, we first study some general properties of the horizons in asymptotically de Sitter space-time and prove that the area of the horizons does not decrease and has an upper bound if the matter fields satisfy the dominant energy condition. By using these results, we analytically show that once gravitational collapse occurs from any initial data on a null hypersurface, the system of field equations breaks down inevitably in the domain of outer communications or the boundary, i.e. the black hole event horizon provided that a future null infinity I+ exists, or the asymptotic structure at I+ is broken and the universe will recollapse. In order to clarify which history does the universe trace, we perform a numerical simulation. Then, the dilaton field diverges faster than the logarithmic function almost uniformly and the asymptotic structure would be broken. This implies that the cosmic no hair conjecture is violated in the generalized theory of gravity.

AB - We investigate the gravitational collapsing phenomenon in the spherically symmetric Einstein-Maxwell-dilaton system with a positive cosmological constant. As a preparation, we first study some general properties of the horizons in asymptotically de Sitter space-time and prove that the area of the horizons does not decrease and has an upper bound if the matter fields satisfy the dominant energy condition. By using these results, we analytically show that once gravitational collapse occurs from any initial data on a null hypersurface, the system of field equations breaks down inevitably in the domain of outer communications or the boundary, i.e. the black hole event horizon provided that a future null infinity I+ exists, or the asymptotic structure at I+ is broken and the universe will recollapse. In order to clarify which history does the universe trace, we perform a numerical simulation. Then, the dilaton field diverges faster than the logarithmic function almost uniformly and the asymptotic structure would be broken. This implies that the cosmic no hair conjecture is violated in the generalized theory of gravity.

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U2 - 10.1142/S0217751X01003093

DO - 10.1142/S0217751X01003093

M3 - Review article

AN - SCOPUS:0035836980

VL - 16

SP - 1501

EP - 1530

JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

SN - 0217-751X

IS - 9

ER -