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Energy extraction and particle acceleration around a rotating black hole in Hořava-Lifshitz gravity

Ahmadjon AbdujabbarovInstitute of Nuclear Physics, Ulughbek, Tashkent 100214, Uzbekistan, Ulugh Beg Astronomical Institute, Astronomicheskaya 33, Tashkent 100052, Uzbekistan, Inter University Centre for Astronomy and Astrophysics, Post Bag 4, Pune 411007, IndiaBobomurat AhmedovInstitute of Nuclear Physics, Ulughbek, Tashkent 100214, Uzbekistan, Ulugh Beg Astronomical Institute, Astronomicheskaya 33, Tashkent 100052, Uzbekistan, Inter University Centre for Astronomy and Astrophysics, Post Bag 4, Pune 411007, IndiaBahodir AhmedovInstitute of Nuclear Physics, Ulughbek, Tashkent 100214, Uzbekistan, Ulugh Beg Astronomical Institute, Astronomicheskaya 33, Tashkent 100052, Uzbekistan, Inter University Centre for Astronomy and Astrophysics, Post Bag 4, Pune 411007, India
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Аннотация

The Penrose process on rotational energy extraction of the black hole in the original nonprojectable Ho\ifmmode \check{r}\else \v{r}\fi{}ava-Lifshitz gravity is studied. The strong dependence of the extracted energy from the special range of parameters of the Ho\ifmmode \check{r}\else \v{r}\fi{}ava-Lifshitz gravity, such as parameter ${\ensuremath{\Lambda}}_{W}$ and specific angular momentum $a$, has been found. Particle acceleration near the rotating black hole in Ho\ifmmode \check{r}\else \v{r}\fi{}ava-Lifshitz gravity has been studied. It is shown that the fundamental parameter of the Ho\ifmmode \check{r}\else \v{r}\fi{}ava-Lifshitz gravity can impose a limitation on the energy of the accelerating particles preventing them from the infinite value.

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