AdS braneworld with backreaction

Bilić, Neven; Tupper, Gary B.

doi:10.2478/s11534-013-0325-y

Cited by 6 publications

(14 citation statements)

References 34 publications

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“…Note that for a pure AdS 5 bulk we have χ = kz and we reproduce the brane action of Ref. [23] if we identify the scale k with the inverse of the AdS 5 curvature radius ℓ.…”

Section: Dynamical Brane As a Tachyonmentioning

confidence: 99%

“…[39,40]; for details and application in cosmology see Ref. [23]). For this purpose we first define the conjugate momentum field as…”

Section: Dynamical Brane As a Tachyonmentioning

confidence: 99%

“…It may be easily shown [23] that one additional 3-brane moving in the AdS 5 bulk behaves effectively as a tachyon with a potential V (ϕ) ∝ ϕ −4 and hence drives a dark matter attractor. A more general tachyon potential could be obtained from more general bulk geometry.…”

Section: Introductionmentioning

confidence: 99%

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Tachyon with an inverse power-law potential in a braneworld cosmology

Bilić

Domazet

Djordjević

2017

Class. Quantum Grav.

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We study a tachyon cosmological model based on the dynamics of a 3-brane in the bulk of the second Randall-Sundrum model extended to more general warp functions. A well known prototype of such a generalization is the bulk with a selfinteracting scalar field. As a consequence of a generalized bulk geometry the cosmology on the observer brane is modified by the scale dependent four-dimensional gravitational constant. In particular we study a power law warp factor which generates an inverse power-law potential V ∝ ϕ −n of the tachyon field ϕ. We find a critical power n cr that divides two subclasses with distinct asymptotic behaviors: a dust universe for n > n cr and a quasi de Sitter universe for 0 < n < n cr .

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“…Note that for a pure AdS 5 bulk we have χ = kz and we reproduce the brane action of Ref. [23] if we identify the scale k with the inverse of the AdS 5 curvature radius ℓ.…”

Section: Dynamical Brane As a Tachyonmentioning

confidence: 99%

“…[39,40]; for details and application in cosmology see Ref. [23]). For this purpose we first define the conjugate momentum field as…”

Section: Dynamical Brane As a Tachyonmentioning

confidence: 99%

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Tachyon with an inverse power-law potential in a braneworld cosmology

Bilić

Domazet

Djordjević

2017

Class. Quantum Grav.

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“…The radion field has been proposed as an inflaton [20]. It has been shown [21,22] that the interaction of the radion with the tachyon can alter the tachyon equation of state: by averaging over large scales the effective equation of state describes the warm dark matter. One of our aims here is to answer the question whether radion could drastically change the early cosmology in the framework of the RSII braneworld model.…”

Section: Introductionmentioning

confidence: 99%

“…[23,24]. It is a simple matter to show that this additional 3-brane behaves effectively as a tachyon with the inverse quartic potential [22]. The tachyon model of this kind falls into the class of the power-law tachyon potentials V (θ) ∝ θ −n with n > 2 which drive a dark-matter attractor [25]: for θ → ∞, the pressure tends to unity very quickly with the unpleasant feature of cold dark matter (CDM) domination at the end of inflation.…”

Section: Introductionmentioning

confidence: 99%

Tachyon inflation in an AdS braneworld with backreaction

Bilić

Dimitrijević

Djordjević

et al. 2017

Int. J. Mod. Phys. A

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We analyze the inflationary scenario based on the tachyon field coupled with the radion of the second Randall-Sundrum model (RSII). The tachyon Lagrangian is derived from the dynamics of a 3-brane moving in the five dimensional bulk. The AdS 5 geometry of the bulk is extended to include the radion. Using the Hamiltonian formalism we find four nonlinear field equations supplemented by the modified Friedmann equations of the RSII braneworld cosmology. After a suitable rescaling we reduce the parameters of our model to only one free parameter related to the brane tension and the AdS 5 curvature. We solve the equations numerically assuming a reasonably wide range of initial conditions determined by physical considerations. Varying the free parameter and initial conditions we confront our results with the Planck 2015 data.

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Numerical calculation of hubble hierarchy parameters and observational parameters of inflation

Milošević¹,

Bilić²,

Dimitrijević³

et al. 2019

AIP Conference Proceedings

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We present results obtained by a software we developed for computing observational cosmological inflation parameters: the scalar spectral index (n s ) and the tensor-to-scalar ratio (r) for a standard single field and tachyon inflation, as well as for a tachyon inflation in the second Randall-Sundrum model with an additional radion field. The calculated numerical values of observational parameters are compared with the latest results of observations obtained by the Planck Collaboration. The program is written in C/C++. The GNU Scientific Library is used for some of the numerical computations and R language is used for data analysis and plots. * mmilan@seenet-mtp.info arXiv:1809.04939v1 [gr-qc]

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AdS braneworld with backreaction

Cited by 6 publications

References 34 publications

Tachyon with an inverse power-law potential in a braneworld cosmology

Tachyon with an inverse power-law potential in a braneworld cosmology

Tachyon inflation in an AdS braneworld with backreaction

Numerical calculation of hubble hierarchy parameters and observational parameters of inflation

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