A Self-tuning Exact Solution and the Non-existence of Horizons in 5d Gravity-Scalar System
نویسنده
چکیده
We present an exact thick domain wall solution with naked singularities to five dimensional gravity coupled with a scalar field with exponential potential. In our solution we found exactly the special coefficient of the exponent as coming from compactification of string theory with cosmological constant. We show that this solution is self-tuning when a 3-brane is included. In searching for a solution with horizon we found a similar exact solution with fine-tuned exponent coefficient with an integration constant. Failing to find a solution with horizon we prove the non-existence of horizons. These naked singularities actually can’t be resolved by horizon. We also comment on the physical relevance of this solution. e-mail: [email protected] Permanent address
منابع مشابه
Brane gravity , massless bulk scalar and self - tuning solution of the cosmological constant problem
We show that a self-tuning mechanism of the cosmological constant could work in 5D non-compact space with Z 2 symmetry with scalar kinetic energy term. The standard model matter fields live only on the 4 dimensional (4D) brane. The change of vacuum energy on the brane (brane cosmological constant) by, for instance, electroweak and QCD phase transitions, just gives rise to dynamical shifts of th...
متن کاملBrane gravity , massless bulk scalar and self - tuning of the cosmological constant ( a )
We show that a self-tuning mechanism of the cosmological constant could work in 5D non-compact space-time with a Z 2 symmetry in the presence of a massless scalar field. The standard model matter fields live only on the 4D brane. The change of vacuum energy on the brane (brane cosmological constant) by, for instance, electroweak and QCD phase transitions, just gives rise to dynamical shifts of ...
متن کاملEinstein Gravity on a Brane in 5 D Non - compact Flat Spacetime – DGP model revisited –
We revisit the 5D gravity model by Dvali, Gabadadze, and Porrati (DGP). In the model it was shown that even in 5D non-compact Minkowski space, the Newtonian gravity can emerge on a brane at short distance by introducing a brane-localized 4D Ricci scalar δ(z)M2 4 R̄4 in the action. Based on this idea, we construct simple setups in which graviton standing waves can arise, and we introduce a z deri...
متن کاملSelf-tuning of the Cosmological Constant and Einstein Gravity on the Brane
We show that a self-tuning mechanism of the cosmological constant could work in 5D non-compact space-time. The standard model matter fields live only on the 4D brane. The change of vacuum energy on the brane just gives rise to dynamical shifts of the profiles of the background metric and a bulk scalar field in the extra dimension, keeping 4D space-time flat. To obtain the Newtonian potential on...
متن کاملGravity on a Brane in 5 D Non - compact Flat Spacetime – DGP model revisited –
We revisit the 5D gravity model by Dvali, Gabadadze, and Porrati (DGP). Within their framework it was shown that even in 5D non-compact Minkowski space (x, z), the Newtonian gravity can emerge on a brane at short distances by introducing a brane-localized 4D Einstein-Hilbert term δ(z)M2 4 √ |ḡ4|R̄4 in the action. Based on this idea, we construct simple setups in which graviton standing waves can...
متن کامل