Searcharxiv⌕ Search

arXiv subjects

M. Yu. Zotov

Publications and source records attributed to M. Yu. Zotov.

32 records · Page 2Linked to original sources
arXiv2005

A search for outstanding sources of PeV cosmic rays: Cassiopeia A, the Crab Nebula, the Monogem Ring--But how about M33 and the Virgo cluster?

We study arrival directions of 1.4x10^6 extensive air showers (EAS) registered with the EAS--1000 Prototype Array in the energy range 0.1--10 PeV. By applying an iterative algorithm that provides uniform distribution of the data with respect to sidereal time and azimuthal angles, we find a number of zones with excessive flux of cosmic rays (CRs) at >=3 sigma level. We compare locations of the zones with positions of galactic supernova remnants (SNRs), pulsars, open star clusters, and regions of ionized hydrogen and find remarkable coincidences, which may witness in favour of the hypothesis that certain objects of these types, including the SNRs Cassiopeia A, the Crab Nebula, the Monogem Ring and some other, provide a noticeable contribution to the flux of CRs in the PeV range of energies. In addition, we find certain signs of a contribution from the M33 galaxy and a number of comparatively nearby groups of active galactic nuclei and interacting galaxies, in particular those in the Virgo cluster of galaxies. The results also provide some hints for a search of possible sources of ultra-high energy (UHE) cosmic rays and support an earlier idea that a part of both UHE and PeV CRs may originate from the same astrophysical objects.

astro-ph↗
arXiv2003

Bursts of extensive air showers: chaos vs. stochasticity

Bursts of the count rate of extensive air showers (EAS) lead to the appearance of clusters in time series that represent EAS arrival times. We apply methods of nonlinear time series analysis to twenty EAS cluster events found in the data set obtained with the EAS-1000 prototype array. In particular, we use the Grassberger-Procaccia algorithm to compute the correlation dimension of the time series in the vicinity of the clusters. We find that four cluster events produce signs of chaos in the corresponding time series. By applying a number of supplementary methods we assess that the nature of the observed behaviour of the correlation dimension is likely to be deterministic. We suggest a simple qualitative model that might explain an origin of clusters in general and "possibly chaotic" clusters in particular. Finally, we compare our conclusions with the results of similar investigations performed by the EAS-TOP and LAAS groups.

astro-ph↗
arXiv2003

Clusters of EAS with electron number >~ 10^4

We perform cluster analysis of arrival times of extensive air showers (EAS) registered with the EAS-1000 Prototype array in the period from August, 1997 till February, 1999. We present twenty cluster events each consisting of one or several EAS clusters, study the dynamics of their development, and analyze the angular distribution of EAS in clusters. We find that there may be certain correlation between EAS clusters with mean electron number $\sim10^5$ on the one hand and gamma-ray bursts and ultrahigh energy cosmic rays on the other.

astro-ph↗
arXiv2002

Nonlinear analysis of EAS clusters

We apply certain methods of nonlinear time series analysis to the extensive air shower clusters found earlier in the data set obtained with the EAS-1000 Prototype array. In particular, we use the Grassberger-Procaccia algorithm to compute the correlation dimension of samples in the vicinity of the clusters. The validity of the results is checked by surrogate data tests and some additional quantities. We compare our conclusions with the results of similar investigations performed by the EAS-TOP and LAAS groups.

astro-ph↗
arXiv2002

Distribution of EAS arrival times according to data of the EAS-1000 prototype array

We have analysed arrival times of extensive air showers (EAS) registered with the EAS-1000 prototype array during the period from August, 1997 till February, 1999. Our analysis has revealed that though the vast majority of samples of consecutive time intervals between EAS arrival times obey the exponential distribution, there are sequences of showers that have another distribution and thus violate the homogeneity hypothesis. The search for correlation between such events and clusters of showers and events with big delays between arrival times was also carried out.

astro-ph↗
arXiv2001

Non-Abelian Born--Infeld cosmology

We investigate homogeneous and isotropic cosmological solutions supported by the SU(2) gauge field governed by the Born-Infeld lagrangian. In the framework of the Friedmann-Robertson-Walker cosmology, with or without cosmological constant $λ$, we derive dynamical systems that give rather complete description of the space of solutions. For $λ=0$ the effective equation of state $\ve(p)$ is shown to interpolate between $p=-\ve/3$ in the regime of the strong field and $p=\ve/3$ for the weak field. Correspondingly, the Universe starts with zero acceleration and gradually enters the decelerating regime, asymptotically approaching the Tolman solution.

hep-th↗
arXiv2000

Solutions with negative mass for the SU(2) Einstein-Yang-Mills equations

The aim of this note is to clarify the structure of nontrivial global solutions with nonpositive ADM mass for the static, spherically symmetric Einstein-Yang-Mills equations with SU(2) gauge group. The presented numerical results demonstrate that these solutions have zero number of nodes of the gauge field function. This is a feature that is present neither for particlelike nor for black hole solutions.

gr-qc↗
arXiv2000

A solution to the problem posed by Byland and Scialom

Recently, Byland and Scialom studied the evolution of the Bianchi I, the Bianchi III and the Kantowski-Sachs universe on the basis of dynamical systems methods (Phys. Rev. D57, 6065 (1998), gr-qc/9802043). In particular, they have pointed out a problem to determine the stability properties of one of the degenerate critical points of the corresponding dynamical system. Here we give a solution, showing that this point is unstable both to the past and to the future. We also discuss the asymptotic behavior of the trajectories in the vicinity of another critical point.

gr-qc↗
arXiv1999

Dynamical system analysis for the Einstein-Yang-Mills equations

Local solutions of the static, spherically symmetric Einstein-Yang-Mills (EYM) equations with SU(2) gauge group are studied on the basis of dynamical systems methods. This approach enables us to classify EYM solutions in the origin neighborhood, to prove the existence of solutions with the oscillating metric as well as the existence of local solutions for all known formal power series expansions, to study the extendibility of solutions, and to find two new local singular solutions.

gr-qc↗
arXiv1997

Singularities Inside Hairy Black Holes

We show that the Strong Cosmic Censorship is supported by the behavior of generic solutions on the class of static spherically symmetric black holes in gravitating gauge models and their stringy generalizations.

gr-qc↗
arXiv1997

Internal structure of non-Abelian black holes and nature of singularity

Recent results concerning the internal structure of static spherically-symmetric non-Abelian black holes in the Einstein-Yang-Mills (EYM) theory and its generalizations including scalar fields are reviewed and discussed with an emphasis on the problem of a generic singularity in black holes. It is argued that in the theories admitting a violation of the naive no-hair conjecture the structure of singularity is essentially affected by the "hair roots". This invalidates an image of a non-Abelian black hole as a Schwarzschild black hole sitting inside the soliton. We give an analytic description of the generic oscillatory approach to the singularity in the pure EYM theory in terms of a divergent discrete sequence and show that the mass function is exponentially growing "in average". The second type of a generic approach to the singularity in hairy black holes is a "power-law mass inflation" which is realized in the theories including scalar fields. Both singularities are spacelike and no Cauchy horizons are met in the full interior region in conformity with the Strong Cosmic Censorship conjecture. Black holes violating this conjecture exist only for certain discrete values of the event horizon radius thus forming a subset of zero measure.

hep-th↗
arXiv1997

Singularities inside non-Abelian black holes

Singularities inside static spherically symmetric black holes in the SU(2) Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton theories are investigated. Analytical formulas are presented describing oscillatory and power law metric behavior near spacelike singularities in generic solutions.

gr-qc↗
arXiv1997

Internal Structure of Einstein-Yang-Mills Black Holes

It is shown that a generic black hole solution of the SU(2) Einstein-Yang-Mills equations develops a new type of an infinitely oscillating behavior near the singularity. Only for certain discrete values of the event horizon radius exceptional solutions exist, possessing an inner structure of the Schwarzschild or Reissner-Nordstrom type.

gr-qc↗