Observational constrains on the DGP brane-world model with a Gauss–Bonnet term in the bulk

In the Randall–Sundrum (RS) brane-world model a singular delta-function source is matched by the second derivative of the warp factor. So one should take possible curvature corrections in the effective action of the RS models in the Gauss–Bonnet (GB) form. We present a linearized treatment of gravity in the RS brane-world with the Gauss–Bonnet modifications to Einstein gravity. We give explicit expressions for the Neumann propagator in arbitrary D dimensions and show that a bulk GB term gives, along with a tower of Kaluza–Klein modes in the bulk, a massless graviton on the brane, as in the standard RS model. Moreover, a nontrivial GB coupling can allow a new branch of solutions with finite Planck scale and no naked bulk singularity, which might be useful to avoid some of the previously known "no-go theorems" for RS brane-world compactifications.

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Observational constraints of emergent universe in brane-world with Gauss–Bonnet term and dissipative effect

International Journal of Geometric Methods in Modern Physics ◽

10.1142/s021988781950169x ◽

2019 ◽

Vol 16 (11) ◽

pp. 1950169 ◽

Cited By ~ 2

Author(s):

Partha Sarathi Debnath

Keyword(s):

Equilibrium Points ◽

Brane World ◽

Model Parameters ◽

Type Ii ◽

Emergent Universe ◽

World Model ◽

Imperfect Fluid ◽

The Stability ◽

Bonnet Term ◽

The Eu

Cosmological solutions in the Randall–Sundrum (RS) type II brane-world model including Gauss–Bonnet (GB) term, in the presence of a bulk viscous cosmological fluid are discussed. Transport equations described by Eckart and Israel Stewart are implemented here. Cosmological models admitting emergent universe (EU) of the early universe is explored here in the presence of imperfect fluid described by Eckart theory and Truncated Israel Stewart (TIS) theory and Full Israel Stewart (FIS) theory. We also study the permitted values of the EU model parameters by considering cosmological observational dataset. The stability analysis of the equilibrium points of the dynamical system associated with the evolution in the RS brane including GB term are studied in Eckart theory, TIS theory and FIS theory.

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Warm inflation in the DGP brane-world model

Physics Letters B ◽

10.1016/j.physletb.2007.08.007 ◽

2007 ◽

Vol 653 (2-4) ◽

pp. 122-128 ◽

Cited By ~ 46

Author(s):

Sergio del Campo ◽

Ramón Herrera

Keyword(s):

Brane World ◽

World Model ◽

Warm Inflation

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Vacuum Expectation Value Profiles of the Bulk Scalar Field in the Generalized Randall-Sundrum Model

Advances in High Energy Physics ◽

10.1155/2015/590980 ◽

2015 ◽

Vol 2015 ◽

pp. 1-10

Author(s):

A. Tofighi ◽

M. Moazzen ◽

A. Farokhtabar

Keyword(s):

Scalar Field ◽

Boundary Conditions ◽

Cosmological Constant ◽

Vacuum Expectation ◽

Vacuum Expectation Value ◽

Brane World ◽

Dirichlet Boundary Conditions ◽

World Model ◽

Expectation Value ◽

Bulk Scalar Field

In the generalized Randall-Sundrum warped brane-world model the cosmological constant induced on the visible brane can be positive or negative. In this paper we investigate profiles of vacuum expectation value of the bulk scalar field under general Dirichlet and Neumann boundary conditions in the generalized warped brane-world model. We show that the VEV profiles generally depend on the value of the brane cosmological constant. We find that the VEV profiles of the bulk scalar field for a visible brane with negative cosmological constant and positive tension are quite distinct from those of Randall-Sundrum model. In addition we show that the VEV profiles for a visible brane with large positive cosmological constant are also different from those of the Randall-Sundrum model. We also verify that Goldberger and Wise mechanism can work under nonzero Dirichlet boundary conditions in the generalized Randall-Sundrum model.

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