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most citedThick brane solutions

225 citations

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gr-qc2010★ 1 cited

Topology change in quantum gravity and Ricci flows

V. Dzhunushaliev, N. Serikbayev, R. Myrzakulov

The topology change in quantum gravity is modeled by a Ricci flow. In this approach we offer to consider the Ricci flow as a statistical system. The metric in the Ricci flow enumer…

gr-qc2009★ 43 cited

Some thick brane solutions in -gravity

V. Dzhunushaliev, V. Folomeev, B. Kleihaus +1

The thick brane model is considered in gravity. It is shown that regular asymptotically anti-de Sitter solutions exist in some range of values of the parameter .…

gr-qc2009★ 5 cited

Creation/annihilation of wormholes supported by the Sine-Gordon phantom (ghost) field

Vladimir Dzhunushaliev, Vladimir Folomeev

The possible process of creation/annihilation of traversable wormholes in the model with phantom (ghost) scalar field is described. It is shown that such process can be realized on…

gr-qc2009★ 225 cited

Thick brane solutions

Vladimir Dzhunushaliev, Vladimir Folomeev, Masato Minamitsuji

This article gives a comprehensive review on thick brane solutions and related topics. Such models have attracted much attention from many aspects since the birth of the brane worl…

gr-qc2008★ 33 cited

Thick de Sitter brane solutions in higher dimensions

Vladimir Dzhunushaliev, Vladimir Folomeev, Masato Minamitsuji

We present thick de Sitter brane solutions which are supported by two interacting {\it phantom} scalar fields in five-, six- and seven-dimensional spacetime. It is shown that for a…

gr-qc2008★ 2 cited

Quantum wormhole as a Ricci flow

Vladimir Dzhunushaliev

The idea is considered that a quantum wormhole in a spacetime foam can be described as a Ricci flow. In this interpretation the Ricci flow is a statistical system and every metric…

gr-qc2008★ 47 cited

Non-singular solutions to Einstein-Klein-Gordon equations with a phantom scalar field

Vladimir Dzhunushaliev, Vladimir Folomeev, Ratbay Myrzakulov +1

It is shown that the 4D Einstein-Klein-Gordon equations with a phantom scalar field (a scalar field with a negative sign in front of the kinetic energy term of its Lagrange density…

gr-qc2008★ 5 cited

Phantom thick brane in 5D bulk

Vladimir Dzhunushaliev, Vladimir Folomeev, Shynaray Myrzakul +1

A model of a thick brane in 5D bulk supported by two phantom scalar fields is considered. The comparison with a thick brane supported by two usual scalar fields is carried out. The…

gr-qc2007★ 7 cited

4D static solutions with interacting phantom fields

Vladimir Dzhunushaliev, Vladimir Folomeev

Three static models with two interacting phantom and ghost scalar fields were considered: a model of a traversable wormhole, a brane-like model and a spherically symmetric problem.…

gr-qc2007★ 29 cited

Thick brane in 7D and 8D spacetimes

Vladimir Dzhunushaliev, Vladimir Folomeev, Kairat Myrzakulov +1

We consider a thick brane model supported by two interacting scalar fields in 7D and 8D general relativity. Using the special type of a potential energy, we obtain numerically the…

gr-qc2006★ 5 cited

Cosmic string with two interacting scalar fields

V. Dzhunushaliev, V. Folomeev, K. Myrzakulov +1

The model of cosmic string formed from two gravitating and interacting scalar fields is considered. It is shown that the regular solutions exist at special choice of the model's pa…

gr-qc2006★ 10 cited

Phantom fields: bounce solutions in the early Universe and S-branes

Vladimir Dzhunushaliev, Vladimir Folomeev, Kairat Myrzakulov +1

The cosmological model with two phantom scalar fields with the special choice of field's potential is considered. The obtained regular solution describes a bounce with a subsequent…

gr-qc2006★ 9 cited

Boson stars from a gauge condensate

V. Dzhunushaliev, K. Myrzakulov, R. Myrzakulov

The boson star filled with two interacting scalar fields is investigated. The scalar fields can be considered as a gauge condensate formed by SU(3) gauge field quantized in a non-p…

gr-qc2005

Soft singularity and the fundamental length

Vladimir Dzhunushaliev, Ratbay Myrzakulov

It is shown that some regular solutions in 5D Kaluza-Klein gravity may have interesting properties if one from the parameters is in the Planck region. In this case the Kretschman m…

gr-qc2005

Gravitational Model of the String

Vladimir Dzhunushaliev

It is shown that an infinite gravitational flux tube solution in 5D Kaluza-Klein gravity with the cross section in the Planck region after reduction and isometrical emb…

gr-qc2005★ 4 cited

Physical singularity in the regular spacetime and fundamental length

Vladimir Dzhunushaliev, Ratbay Myrzakulov

It is shown that formally regular solutions in 5D Kaluza-Klein gravity have singularities. This phenomenon is connected with the existence of a minimal length in nature. The calcul…

gr-qc2004★ 3 cited

Pure quantum freezing of the 5 dimension

Vladimir Dzhunushaliev

It is shown that superthin and superlong gravitational flux tube solutions in the 5D Kaluza-Klein gravity have the region where the metric signature changes from…

gr-qc2004★ 3 cited

Duality between magnetic field and rotation

V. Dzhunushaliev

It is shown that in 5D Kaluza-Klein theory there are everywhere regular wormhole-like solutions in which the magnetic field at the center is the origin of a rotation on the periphe…

gr-qc2003★ 2 cited

Strings and Branes under Microscope

V. Dzhunushaliev

It is shown that in the standard vacuum 5D Kaluza-Klein gravity there is wormhole-like solutions which look like strings attached to two D-branes. The asymptotical behaviour of the…

gr-qc2003★ 3 cited

Some properties of a string

V. Dzhunushaliev

The properties of 5D gravitational flux tubes are considered. With the cross section and 5th dimension in the Planck region such tubes can be considered as string-like objects, nam…

gr-qc2003★ 5 cited

string - a hybrid between wormhole and string

V. Dzhunushaliev

The flux tube solutions in 5D Kaluza-Klein theory can be considered as a string-like object - string. The initial 5D metric can be reduced to some inner degrees of freedom livi…

gr-qc2002★ 9 cited

Strings from Flux Tube Solutions in Kaluza-Klein Theory

V. Dzhunushaliev

We calculate dimensional reduction of gravitational flux tube solutions in the scheme of Kaluza-Klein theory. The fifth dimension is compacified to a region of Planck size. Assumin…

gr-qc2002

Time at the origin of the Universe: fluctuations between two possibilities

V. Dzhunushaliev

A variation of Hawking's idea about Euclidean origin of a nonsingular birth of the Universe is considered. It is assumed that near to zero moment fluctuations of a metric s…

gr-qc2001

Polarized Spacetime Foam

V. Dzhunushaliev

An approximate model of a spacetime foam is presented. It is supposed that in the spacetime foam each quantum handle is like to an electric dipole and therefore the spacetime foam…