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Publications (6)0 Total impact

  • Article: Shadow of Kerr-Taub-NUT black hole
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    ABSTRACT: The shadow of a rotating black hole with nonvanishing gravitomagnetic charge has been studied. It was shown that in addition to the angular momentum of black hole the gravitomagnetic charge term deforms the shape of the black hole shadow. From the numerical results we have obtained that for a given value of the rotation parameter, the presence of a gravitomagnetic charge enlarges the shadow and reduces its deformation with respect to the spacetime without gravitomagnetic charge. Finally we have studied the capture cross section for massive particles by black hole with the nonvanishing gravitomagnetic charge.
    12/2012;
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    Article: Energy Extraction and Particle Acceleration Around Rotating Black Hole in Horava-Lifshitz Gravity
    Ahmadjon Abdujabbarov, Bobomurat Ahmedov, Bahodir Ahmedov
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    ABSTRACT: Penrose process on rotational energy extraction of the black hole (BH) in the original non-projectable Ho\v{r}ava-Lifshitz gravity is studied. The strong dependence of the extracted energy from the special range of parameters of the Ho\v{r}ava-Lifshitz gravity, such as parameter $\Lambda_W$ and specific angular momentum $a$ has been found. Particle acceleration near the rotating BH in Ho\v{r}ava-Lifshitz gravity has been studied. It is shown that the fundamental parameter of the Ho\v{r}ava-Lifshitz gravity can impose limitation on the the energy of the accelerating particles preventing them from the infinite value.
    07/2011;
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    Article: Magnetized Particle Capture Cross Section for Braneworld Black Hole
    Ozodbek Rahimov, Ahmadjon Abdujabbarov, Bobomurat Ahmedov
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    ABSTRACT: Capture cross section of magnetized particle (with nonzero magnetic moment) by braneworld black hole in uniform magnetic field is considered. The magnetic moment of particle was chosen as it was done by \citet{rs99} and for the simplicity particle with zero electric charge is chosen. It is shown that the spin of particle as well as the brane parameter are to sustain the stability of particles circularly orbiting around the black hole in braneworld i.e. spin of particles and brane parameter try to prevent the capture by black hole.
    05/2011;
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    Article: Particle motion around black hole in Hořava-Lifshitz gravity
    Ahmadjon Abdujabbarov, Bobomurat Ahmedov, Abdullo Hakimov
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    ABSTRACT: Analytical solutions of Maxwell equations around black hole immersed in external uniform mag-netic field in the background of the Kehagias-Sfetsos (KS) asymptotically flat black hole solution of Hořava-Lifshitz gravity have been found. Influence of magnetic field on effective potential of the radial motion of charged test particle around black hole immersed in external magnetic field in Hořava-Lifshitz gravity has been investigated by using Hamilton-Jacobi method. Exact analytical solution for dependence of the minimal radius of the circular orbits rmc from KS parameter ω for motion of test particle around spherical symmetric black hole in Hořava-Lifshitz gravity has been derived. The critical values of the particle's angular momentum for captured particles by black hole in Hořava-Lifshitz gravity have been obtained numerically. The comparison of the obtained numerical results with the astrophysical observational data on radii of the innermost stable circular orbits gives us the estimation of the parameter as ω ≃ 3.6 · 10 −24 cm −2 .
    02/2011;
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    Article: Quantum Interference Effects in Horava-Lifshitz Gravity
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    ABSTRACT: The relativistic quantum interference effects in the spacetime of slowly rotating object in the Ho\v{r}ava-Lifshitz gravity as the Sagnac effect and phase shift of interfering particle in neutron interferometer are derived. We consider the extension of Kehagias-Sfetsos (KS) solution~\cite{ks09} in the Ho\v{r}ava-Lifshitz gravity for the slowly rotating gravitating object. Using the covariant Klein-Gordon equation in the nonrelativistic approximation, it is shown that the phase shift in the interference of particles includes the gravitational potential term with the KS parameter $\omega$. It is found that in the case of the Sagnac effect, the influence of the KS parameter $\omega$ is becoming important due to the fact that the angular velocity of the locally non rotating observer is increased in Ho\v{r}ava gravity. From the results of the recent experiments~\cite{holgeretal} we have obtained lower limit for the coupling KS constant as $\omega \simeq 1.25 \cdot 10^{-25} \rm{cm}^{2}$. Finally, as an example, we apply the obtained results to the calculation of the UCN (ultra-cold neutrons) energy level modification in the gravitational field of slowly rotating gravitating object in the Ho\v{r}ava-Lifshitz gravity. Comment: 13 pages, 1 figure, accepted for publication in Modern Physics Letter A
    08/2010;
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    Article: Test particle motion around a black hole in a braneworld
    Ahmadjon Abdujabbarov, Bobomurat Ahmedov
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    ABSTRACT: Analytical solutions of Maxwell equations in background spacetime of a black hole in a braneworld immersed in an external uniform magnetic field have been found. The influence of both magnetic and brane parameters on the effective potential of the radial motion of a charged test particle around a slowly rotating black hole in a braneworld immersed in a uniform magnetic field has been investigated by using the Hamilton-Jacobi method. An exact analytical solution for dependence of the radius of the innermost stable circular orbits (ISCO) rISCO from the brane parameter for the motion of a test particle around a nonrotating isolated black hole in a braneworld has been derived. It has been shown that the radius rISCO is monotonically growing with the increase of the module of the brane tidal charge. A comparison of the predictions on rISCO of the braneworld model and of the observational results of ISCO from relativistic accretion disks around black holes provided the upper limit for the brane tidal charge ≲109 cm2.
    Phys. Rev. D. 05/2009; 81(4).