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Regge-Teitelboim Goedetic Brane Gravity and Effective Cosmology
| Content Provider | Semantic Scholar |
|---|---|
| Author | Naboulsi, Ramy |
| Copyright Year | 2003 |
| 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 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 − 1 2 gR − T )(y ;μν + Γ A BCy B ,μy C ,ν) = 0 (1) where (h̄ = 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 = 0, 1, . . . , n), in a higher dimensional background spanned by y(A = 0, 1, . . . , N) [6]. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/gr-qc/0301115v1.pdf |
| Alternate Webpage(s) | https://arxiv.org/pdf/gr-qc/0301115v2.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
