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Regge-teitelboim goedetic brane gravity and effective cosmology (2008).
| Content Provider | CiteSeerX |
|---|---|
| Author | Naboulsi, Ramy |
| Abstract | A geodetic brane cosmology formulated by virtue of 5-dimensional local isometric embedding is investigated with the context of Regge-Teitelboim brane gravity. We discuss a simple model where the resulting FRW evolution of the universe is governed by an effective density of the form ρ + Λ + 3m 2 where m is a constant having the dimension of the Hubble constant H. In 1999, Randall and Sundrum published a two papers in which they studied three-brane solutions in a five dimensional AdS space [1,2]. The most remarkable feature of the RS brane world is that gravity is the five-dimensional bulk is effectively localized on the four dimensional brane. This is surprising since no elementary branes have gravitational degrees of freedom on their world volume. Instead, the fluctuations around the static solutions are described by scalar, vector or tensor multiplets. The RS brane world scenarios have a very rich structure. But in fact in 1975, Regge and Teitelboim [3] proposed a different approach known as geodetic brane gravity in which the correspconding field equations are: (R µν − 1) = 0 (1) 2 gµνR − T µν)(y A;µν + ΓABC yB,µ yC,ν where (¯h = c = 1, 8πG = 1) and T µν = T µν matter + T µν vacuum. Eq (1) decribes a generalized geodetic motion of an embedded lower dimensional brane [4,5], parametrized by means of x µ(µ = 0, 1,..., n), in a higher dimensional background spanned by yA (A = 0, 1,...,N) [6]. 1 The energy-momentum tensor is conserved, that is, T µν;ν = 0 by means of the following important identity: ηABy A,µ(yB;νλ + ΓBCD yC,νyD,λ) = 0 (2) By virtue of five-dimensional local isometric localization, the only independant Regge-Teitelboim survival equation is: where, 0 ≡ d dt. The integration of Eq (3) gives rise to: − √ g(R 00 − 1 2 g00R − T 00) ˙y A) (A = 0) = 0 (3) |
| File Format | |
| Publisher Date | 2008-01-01 |
| Access Restriction | Open |
| Subject Keyword | Effective Cosmology Regge-teitelboim Goedetic Brane Gravity Dimensional Brane Dimensional Background Regge-teitelboim Brane Gravity Elementary Branes Abc Yb World Volume Rich Structure Remarkable Feature Frw Evolution Geodetic Brane Cosmology Five-dimensional Bulk Energy-momentum Tensor Gravitational Degree Matter Vacuum Three-brane Solution Following Important Identity Independant Regge-teitelboim Survival Equation Different Approach Simple Model Correspconding Field Equation R Brane World Scenario Static Solution Effective Density Generalized Geodetic Motion Dimensional Ad Space Tensor Multiplets Bcd Yc Hubble Constant Five-dimensional Local Isometric Localization Geodetic Brane Gravity 5-dimensional Local Isometric Embedding R Brane World |
| Content Type | Text |
