Classiication of 5-dimensional Space-time with Parallel 3-branes
نویسنده
چکیده
If the fth dimension is one-dimensional connected manifold, up to diieo-morphic, the only possible space-time will be M =Z 2. And there exist two possibilities on cosmology constant: the cosmology constant is constant along the fth dimension, and the cosmology constant is sectional constant along the fth dimension. We construct the general models with parallel 3-branes on those kinds of the space-time and with constant/sectional constant cosmology constant, and point out that for compact fth dimension, the sum of the brane tensions is zero, for non-compact fth dimension, the sum of the brane tensions is positive. We assume the observable brane which includes our world should have positive tension, and obtain that in those general scenarios, the 5-dimensional GUT scale on each brane can be indentiied as the 5-dimensional Planck scale, but, the 4-dimensional Planck scale is generated from the low 4-dimensional GUT scale exponentially in our world. We also give some simple models to show explicitly how to solve the gauge hierarchy problem.
منابع مشابه
Parallel Transport Frame in 4 -dimensional Euclidean Space
In this work, we give parallel transport frame of a curve and we introduce the relations between the frame and Frenet frame of the curve in 4-dimensional Euclidean space. The relation which is well known in Euclidean 3-space is generalized for the rst time in 4-dimensional Euclidean space. Then we obtain the condition for spherical curves using the parallel transport frame of them. The conditi...
متن کاملClassification of 5-Dimensional Space-Time with Parallel 3-Branes
If the fifth dimension is one-dimensional connected manifold, up to diffeomorphic, the only possible space-time will be M4 ×R1, M4 ×R/Z2, M4 × S1 and M4 ×S/Z2. And there exist two possibilities on cosmology constant: the cosmology constant is constant along the fifth dimension, and the cosmology constant is sectional constant along the fifth dimension. We construct the general models with paral...
متن کاملKinematic Mapping and Forward Kinematic Problem of a 5-DOF (3T2R) Parallel Mechanism with Identical Limb Structures
The main objective of this paper is to study the Euclidean displacement of a 5-DOF parallel mechanism performing three translation and two independent rotations with identical limb structures-recently revealed by performing the type synthesis-in a higher dimensional projective space, rather than relying on classical recipes, such as Cartesian coordinates and Euler angles. In this paper, Study's...
متن کاملNon - Compact AdS 5 Universe with Parallel Positive Tension 3 - Branes
We construct the general model with only parallel positive tension 3-branes on M4 × R1 and M4 × R/Z2. The cosmology constant is sectional constant along the fifth dimension. In this general scenario, the 5-dimensional GUT scale on each brane can be indentified as the 5-dimensional Planck scale, but, the 4-dimensional Planck scale is generated from the low 4-dimensional GUT scale exponentially i...
متن کاملElectric S - brane solutions with parallel forms on Ricci - flat factor space
In this paper we generalize electric S-brane solutions with maximal number of branes. Previously for the action containing D-dimensional gravity, a scalar field and antisymmetric (p + 2)-form we found composite, electric S-brane solutions with all non-zero " charge " densities which obeyed self-duality or anti-self-duality relations. These solutions occurred when D = 4m + 1 = 5, 9, 13, ... and ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2007