Quantum origin of pre-big-bang collapse from induced matter theory of gravity

We present a simple higher dimensional FRW-type of model where the acceleration is apparently caused by the presence of the extra dimensions. Assuming an ansatz in the form of the deceleration parameter, we get a class of solutions some of which shows the desirable feature of dimensional reduction as well as reasonably good physical properties of matter. Interestingly we do not have to invoke an extraneous scalar field or a cosmological constant to account for this acceleration. One argues that the terms containing the higher dimensional metric coefficients produces an extra negative pressure that apparently drives the inflation of the 4D space with an accelerating phase. It is further found that in line with the physical requirements our model admits of a decelerating phase in the early era along with an accelerating phase at present. Further the models asymptotically mimic a steady-state-type of universe although it starts from a big-bang-type of singularity. Correspondence to Wesson's induced matter theory is also briefly discussed and, in line with it, it is argued that the terms containing the higher dimensional metric coefficients apparently creates a negative pressure which drives the inflation of the 3-space with an accelerating phase.

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Fierz–Pauli equation for massive gravitons from Induced Matter theory of gravity

Physics Letters B ◽

10.1016/j.physletb.2010.12.054 ◽

2011 ◽

Vol 696 (3) ◽

pp. 183-185 ◽

Cited By ~ 2

Author(s):

Mauricio Bellini

Keyword(s):

Pauli Equation ◽

Matter Theory ◽

Theory Of Gravity ◽

Induced Matter

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Five‐dimensional cosmological models in induced matter theory

Journal of Mathematical Physics ◽

10.1063/1.530820 ◽

1994 ◽

Vol 35 (9) ◽

pp. 4889-4896 ◽

Cited By ~ 34

Author(s):

Des J. McManus

Keyword(s):

Cosmological Models ◽

Matter Theory ◽

Induced Matter

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THE EMBEDDING OF THE SPACETIME IN FIVE DIMENSIONS

International Journal of Modern Physics A ◽

10.1142/s0217751x02013332 ◽

2002 ◽

Vol 17 (29) ◽

pp. 4287-4295

Author(s):

C. ROMERO

Keyword(s):

Differential Geometry ◽

Geometrical Structure ◽

Embedding Theorems ◽

Five Dimensions ◽

Matter Theory ◽

Klein Theory ◽

Induced Matter ◽

Kaluza Klein

We briefly review the problem of embedding the spacetime in five dimensions and discuss the geometrical structure of a non-compactified version of Kaluza-Klein theory, known as induced-matter theory. We also highlight the importance of the embedding theorems of differential geometry in the context of embedding theories and present new results which may be considered as extensions of the Campbell-Magaard theorem.

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ON WEYL COSMOLOGY IN FIVE DIMENSIONS AND THE COSMOLOGICAL CONSTANT

International Journal of Modern Physics A ◽

10.1142/s0217751x09044899 ◽

2009 ◽

Vol 24 (08n09) ◽

pp. 1505-1509 ◽

Cited By ~ 14

Author(s):

JOSE EDGAR MADRIZ AGUILAR ◽

CARLOS ROMERO

Keyword(s):

Cosmological Constant ◽

Energy Momentum Tensor ◽

Constant Term ◽

Momentum Tensor ◽

Five Dimensions ◽

Four Dimensions ◽

Riemannian Spacetime ◽

Matter Theory ◽

Induced Matter ◽

Weyl Scalar

In this talk notes we expose the possibility to induce the cosmological constant from extra dimensions from a geometrical framework where our four-dimensional Riemannian spacetime is embedded into a five-dimensional Weyl integrable space. In particular following the approach of the induced matter theory (IMT) we show that when we go down from five to four dimensions we may recover the induced energy momentum tensor of the IMT plus a cosmological constant term that is determined by the presence of the Weyl scalar field on the bulk.

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MASS, PARTICLES AND WAVES IN HIGHER DIMENSIONS

International Journal of Modern Physics D ◽

10.1142/s0218271803004146 ◽

2003 ◽

Vol 12 (09) ◽

pp. 1721-1727 ◽

Cited By ~ 2

Author(s):

PAUL S. WESSON

Keyword(s):

Equations Of Motion ◽

Higher Dimensions ◽

Particle Mass ◽

Dimensional Manifold ◽

Higher Dimensional ◽

Matter Theory ◽

Induced Matter

Using 5D membrane/induced-matter theory as a basis, we derive the equations of motion for a novel gauge. The latter admits both particle and wave behaviour, as well as super-communication (wherein there is causal contact in the higher-dimensional manifold among points which are disjoint in spacetime). Possible ways to test this model are suggested, notably using particle mass.

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