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We consider the process of catastrophic expansion of a spacelike wormhole after a violation of its equilibrium state. The dynamics of deformation of the comoving reference frame is investigated. We show that the deformation has a very specific anisotropic feature. The statement made earlier by other authors, that in the process of expanding the wormhole connecting two universes these universes ultimately unite into one universe, is not correct. We show that the transverse size of the wormhole (its throat) increases and the length of the corridor decreases which does not correspond to the de Sitter model.

We consider the black hole (BH) shadow images which can be restored by data processing and image recovery procedures in future space Very Large Baseline Interferometry (VLBI) missions. For Kerr BHs with masses and coordinates of SgrA*, M87* and M31*, illuminated by light source behind them, we consider three kinds of observation: the ground-based interferometer (similar to the Event Horizon Telescope), space-ground interferometer with a satellite in geocentric orbit and space-ground interferometer with a satellite located in Lagrange point $L_2$. The significant difference between the images produced by the ground-based telescope alone and the one of the space VLBI with an added low-orbit satellite is caused by both the increased baseline and the improved of (u,v) coverage. The near-Earth configuration of the radio interferometer for the observation of BH shadows is the most preferable for the BH shadow observations among considered cases. With further increasing the orbit radius up to the Lagrange point $L_2$ the density of the (u,v) filling decreases and the results appear less reliable. Model images for all the cases are presented., Comment: 15 pages, 5 figures

The paper presents a catalog of supermassive black holes (SMBH) shapened for the interferometric observations in millimeter and submillimeter wavelength ranges and based on the open sources. The catalog includes the name of the object, coordinates, angular distance, the mass, the angular size of the gravitational radius of SMBH, the integral flux of radiosource, related with SMBH, in the range $20\div 900$~GHz which is considered to be used in Event Horizon Telescope, future space mission Millimetron and others. The catalog is intended for use during the planning of the interferometric observations of SMBH shadows., Comment: 17 pages, 3 figures, 2 tables. Accepted for publication in Astronomy Reports

In spectra of many Seyfert galaxies there is a wide emission line of Fe $K_\alpha$. The line profile with two maxima supposes that the line emerges in innermost regions of an accretion disk around a black hole, hence, it is necessary to take into account General Relativity (GR) effects. In order to determine GR processes which occur in active galactic nuclei (AGN) an inverse problem of reconstructing the accreting system parameters from the line profile has to be solved quickly. In this paper we present a numerical approximation of the emission line Fe $K_\alpha$ with analytical functions. The approximation is accomplished for a range of the disk radial coordinate $r$ and the angle $\theta$ between line of sight and perpendicular to the disk and allows one to decrease computing time by $10^6$ times in certain astrophysical problems taking into account all GR effects. The approximation results are available in the Internet at http://www.iki.rssi.ru/people/repin/approx, Comment: 20 pages, 8 figures, 2 tables

Recent X-ray observations of Galactic Black Hole Candidates and AGNs and Seyfert galaxies reveal the broad emission lines in their spectra, which can arise in the innermost parts of accretion disks. Simulation indicates that at low inclination angle the line is registered by distant observer with characteristic two-peak profile. However, at high inclination angles ($> 85 \degr$) two additional peaks arise. This phenomenon was discovered by Matt, Perola, Stella (1993) using the Schwarzschild black hole metric to analyze such effect. They assumed that the effect is applicable to a Kerr metric far beyond of a range of parameters that they exploited. We check and confirm their hypothesis about such structure of the spectral line shape for a Kerr metric case. We use no astrophysical assumptions about physical structure of the emission region except assumption that the region should be narrow enough. Positions and heights of these extra peaks drastically depends on both the radial coordinate of the emitting region (circular hot spot) and the inclination angle. We find that best conditions to observe this effect are realized at $\theta > 85\degr$ and $r > 5r_g$ and may exist in microquasars or low-mass black holes in X-ray binary systems, because there is some precession (and nutation of accretion disks) with not very long time periods (see, for example, SS433 binary system). The line profiles for different inclination angles and radial coordinates are presented. To analyze an influence of disk models on the spectral line shapes we simulate the line profiles for Shakura -- Sunyaev disk model for accretion disks with the high inclination., Comment: 8 pages; 3 figures, Accepted for publication in Astronomy & Astrophysics

Observations of AGNs and microquasars by ASCA, RXTE, Chandra and XMM-Newton indicate the existence of wide X-ray emission lines of heavy ionized elements in their spectra. The emission can arise in the inner parts of accretion discs where the effects of General Relativity (GR) must be counted, moreover such effects can dominate. We describe a procedure to estimate an upper limit of the magnetic fields in the regions where X-ray photons are emitted. We simulate typical profiles of the iron $K_\alpha$ line in the presence of a magnetic field and compare them with observational data. As an illustration we find $H < 10^{10} - 10^{11}$ Gs for Seyfert galaxy MCG--6--30--15. Using the perspective facilities of measurement devices (e.g. Constellation-X mission) a better resolution of the blue peak structure of iron $K_\alpha$ line will allow to find the value of the magnetic fields if the latter are high enough., Comment: 9 pages, 6 figures, submitted to MNRAS

Timing of Geminga gamma-ray pulsar is done using data of COS B and EGRET. It is shown, that errors in angular coordinates of sources similar to Geminga strongly influence a determination of $\ddot \nu$, so that at angular precision less then $10^{-3}$ arc sec determination of the value of $\ddot \nu$ by means of criterion gives error more then $100 %$. Attempt have been done to improve coordinates of a gamma-ray pulsar using timing analysis. In addition to search of $\nu$, $\dot\nu$ and $\ddot\nu$, a technique is first developed permitting search of two angular coordinates, absolute speed value and direction of a proper motion. In that way timing of gamma-ray pulsars gives amount of information compatible with radiopulsars, but using of real data gives much poorer precision. In gamma-ray sources with rare pulses the periodicity criteria are quite different from the ones in radio region. Data on the coordinates and proper motion of Geminga, obtained from timing studies, do not contradict inside the errors to its identification with $G''$ star and its proper motion. These errors are larger then ones in optical measurements, but are smaller then corresponding errors in X-ray and $\gamma$-ray data. Estimations of the gamma-ray pulsar coordinates and its proper motion could be obtained independently on its optical or radio component, and are available in their absence., Comment: 20 pages, 3 figures