Zelmanov Memorial Seminar
on
Gravitation and Cosmology

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History

International
School Seminar
1-5 March, 2004.


ARCHIVE
2004


Seminar Number
Seminar Date
Speaker(s)
Title and Abstract
No.142


No.141 August, 10
A. Klypin
Dark Matter Halo
No.140 June, 30
S.Kopeykin,
I.Vlasov

Equation of Motion of Extended Objects in
Post-Newton Formalism with Two Parameters and   Case of Spherically Symmetric Bodies

Abstract

No.139 June, 23
Nobuyuki Sakai (Yamagata University, Japan) Hybrid Monopole Inflation and Massive Black-Hole Formation

We study the dynamics of magnetic monopoles in hybrid inflation. If the vacuum expectation value is of large enough, massive (astronomical-sized) black holes are created. We therefore expect the scenario that astronomical black holes ( say, MACHOs) could be formed in the early universe. However, the mass density of those black holes are so large that the universe after inflation becomes too inhomogeneous. Hence, our attempt does not succeed in the original model of hybrid inflation. Instead, this gives another constraint on the model.
No.138 June, 16
D.V.Nesterov, A.O.Barvinsky
(Lebedev Physical Institute, Moscow)
Effective equations in quantum cosmology of the early universe, braneworld effective action and new nonperturbative methods for effective action

We develop a general framework for effective equations of expectation values in quantum cosmology and pose for them the quantum Cauchy problem with no-boundary and tunneling wavefunctions. Cosmological configuration space is decomposed into two sectors (field-theoretical sector of inhomogeneous modes and quantum mechanical sector of spatially homogeneous modes) that give qualitatively different contributions to the radiation currents in effective equations. We apply this framework in the model with a big negative nonminimal coupling of inflaton, which incorporatesa low energy (GUT scale) mechanism of the quantum origin of the inflationary Universe and study the effects of quantum inflaton mode. Also we develop general "holographic" formalism for constructing the effective action in models with branes. In this approach the effective action turns out to be the functional of "brane" fields which have direct physical and geometrical meaning for observers living on branes. We apply these algorithms to two-brane Randall-Sundrum like models with curved branes imbedded into antideSitter bulk. Also we show that two different calculational methods we used, lead to the same result for the effective action due to nontrivial relation between special boundary operators related to different boundary value problems in the bulk.
No.137 May, 19 V.V.Kiselev
(IHEP, Protvino)


Vector field as a quintessence partner and a dark matter

We derive generic equations for a vector field driving the evolution of flat homogeneous isotropic universe and give a comparison with a scalar filed dynamics in the cosmology. Two exact solutions are shown as examples, which can serve to describe an inflation and a slow falling down of dynamical ``cosmological constant'' like it is given by the scalar quintessence. An attractive feature of vector field description is a generation of ``induced mass'' proportional to a Hubble constant, which result  in a dynamical suppression of actual cosmological constant during the evolution.
We study equations of a non-gauge vector field in a spherically symmetric static metric. The constant vector field with a scale arrangement of components: the temporal component about the Planck mass $m_{\rm Pl}$ and the radial component about $M$ suppressed with respect to the Planck mass, serves as a source of metric reproducing flat rotation curves in dark halos of spiral galaxies, so that the velocity of rotation $v_0$ is determined by the hierarchy of scales: $ \sqrt{2}\, v_0^2= M/m_{\rm Pl}$, and $M\sim10^{12}$ GeV. A natural estimate of Milgrom's acceleration about  the Hubble rate is obtained.

No.136 March, 31
V.R.Gavrilov,
V.N.Melnikov,
S.T.Abdyrakhmanov
Friedmann universe with dust and scalar field

We study a spatially flat Friedmann model  containing a pressureless perfect fluid (dust) and a scalar field  with an unbounded from below  potential of the form  $ V(\fii) = W_0 - V_0\sinh(\sqrt{3/2}\kappa\fii) $, where  the parameters $ W_0 $ and $V_0$   are arbitrary and  $ \kappa=\sqrt{8\pi  G_N} = M_p^{-1} $. The model is integrable and  all exact solutions describe      then recollapsing  universe.     The behavior of the model near   both  initial and final points of evolution is analyzed. The   model   is   consistent    with the observational   parameters.  We single out the exact   solution  with the present-day values of acceleration parameter $q_0=0.5$ and dark matter density paramete $ \Omega_{\rho 0}=0.3 $ describing the evolution within the time approximately equal to $2H_0^{-1}$.
No.135 March, 17 V.B. Semikoz, D.D. Sokoloff Large-scale magnetic field generation by $\alpha$-effect driven by collective neutrino-plasma interaction

We suggest a new mechanism for generation of large-scale magnetic field in the hot plasma of early universe which is based on the parity violation in weak interactions and depends neither on helicity of matter turbulence resulting in the standard $\alpha$-effect nor on general rotation. The mechanism can result in a self-excitation of an (almost) uniform cosmological magnetic field.

No.134



February, 25

E. Babichev, V. Dokuchaev and
Yu. Eroshenko
(INR RAS)



Dissolution of black holes in phantom energy

Solution for a stationary accretion of the relativistic perfect fluid with an equation of state $p(\rho)$ onto the Schwarzschild black hole is presented. This solution is a generalization of Michel solution and applicable to the problem of dark energy accretion. It is shown that accretion of phantom energy is accompanied by the gradual decrease of the black hole mass. Masses of all black holes tend to zero in the phantom energy universe approaching to the Big Rip.

No.133

February,18

A. Toporensky (SAI MSU)



Some aspects of Loop Quantum Gravity

I review some aspects of Loop Quantum Gravity in comparison with String Theory, as well as morden attempts of LQG applications to cosmology and high-energy astrophysics.


No.132


February,4



K.A.Bronnikov, B.E.Meierovich


Self-Gravitating Global Monopole and Nonsingular Cosmology

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