A self-tuning exact solution and the non-existence of horizons in 5d gravity-scalar system | Zendy

Chuan-Jie Zhu | Zendy

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A self-tuning exact solution and the non-existence of horizons in 5d gravity-scalar system

Author(s) -

Chuan-Jie Zhu

Publication year - 2000

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2000/06/034

Subject(s) - exact solutions in general relativity , compactification (mathematics) , horizon , scalar field , physics , exponent , exponential function , mathematical physics , classical mechanics , mathematical analysis , mathematics , quantum mechanics , pure mathematics , linguistics , philosophy , astronomy

We present an exact thick domain wall solution with naked sigularities tofive dimensional gravity coupled with a scalar field with exponentialpotential. In our solution we found exactly the special coefficient of theexponent as coming from compactification of string theory with cosmologicalconstant. We show that this solution is self-tuning when a 3-brane is included.In searching for solution with horizon we found a similar exact solution withfine-tuned exponent coefficient with an integration constant. Failed to find asolution with horizon we prove the non-existence of horizons. These nakedsigularities actually can't be resolved by horizon. We also comment on thephysical relevance of this solution.}Comment: 15 pages, 1 figure, Latex with epsf.tex; v2, pen mistakes corrected, one refreence added; v3, grammar errors corrected, to appear in JHE

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