Efficiency of magnetic Penrose process in higher dimensional Myers-Perry black hole spacetimes
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arXiv
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| Format: | Preprint |
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2024
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| author | Shaymatov, Sanjar |
| author_facet | Shaymatov, Sanjar |
| contents | In this paper, we consider a well-established magnetic Penrose process (MPP) and bring out its impact on the efficiency of energy extraction from higher dimensional (i.e., $D>4$) black holes. We derive the field equations of motion and determine the expressions for the energy efficiency of energy extraction for the case of higher dimensional black holes. We also examine the efficiency of energy extraction from black holes with $(n-1)$ and $n$ rotations. We demonstrate that black holes with $(n-1)$ rotations has only one horizon, resulting in infinitely large energy efficiency even without MPP. On the other hand, for black holes with $n$ rotations in $D>4$, the energy efficiency is not infinitely large, but the efficiency can be significantly enhanced by MPP. This enhancement allows for arbitrarily large energy efficiency. We find that the efficiency of energy extraction can exceed over $>100\%$ for $D=5,6$ and $D=7,8$ dimensions. Interestingly, for rotation parameters near the extremal value, the energy efficiency remains above $100 \%$ in $D=7,8$ compared to $D=5,6$. MPP can eventually make higher dimensional black holes more efficient even with $n$ rotations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_02471 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Efficiency of magnetic Penrose process in higher dimensional Myers-Perry black hole spacetimes Shaymatov, Sanjar General Relativity and Quantum Cosmology In this paper, we consider a well-established magnetic Penrose process (MPP) and bring out its impact on the efficiency of energy extraction from higher dimensional (i.e., $D>4$) black holes. We derive the field equations of motion and determine the expressions for the energy efficiency of energy extraction for the case of higher dimensional black holes. We also examine the efficiency of energy extraction from black holes with $(n-1)$ and $n$ rotations. We demonstrate that black holes with $(n-1)$ rotations has only one horizon, resulting in infinitely large energy efficiency even without MPP. On the other hand, for black holes with $n$ rotations in $D>4$, the energy efficiency is not infinitely large, but the efficiency can be significantly enhanced by MPP. This enhancement allows for arbitrarily large energy efficiency. We find that the efficiency of energy extraction can exceed over $>100\%$ for $D=5,6$ and $D=7,8$ dimensions. Interestingly, for rotation parameters near the extremal value, the energy efficiency remains above $100 \%$ in $D=7,8$ compared to $D=5,6$. MPP can eventually make higher dimensional black holes more efficient even with $n$ rotations. |
| title | Efficiency of magnetic Penrose process in higher dimensional Myers-Perry black hole spacetimes |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2402.02471 |