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Repetitive Penrose Process in Kerr-Taub-NUT black hole spacetime

Mirzabek Alloqulov, Bobomurat Ahmedov, Chengxun Yuan

Abstract

In this article, we study the repetitive Penrose process for the Kerr-Taub-NUT black hole (BH). First of all, we briefly review the spacetime of the Kerr-Taub-NUT BH, including horizon and ergosphere structures. The results indicate that the event horizon and ergosphere radii increase under the influence of the gravitomagnetic charge $l$. Subsequently, we find by using the irreducible mass of the BH that the extractable energy decreases with the rise of the gravitomagnetic charge. We then turn to the repetitive Penrose process by writing the conservation laws and setting the corresponding iterative stopping conditions. Furthermore, we numerically calculate the change in the BH's parameters, along with the corresponding quantities of the repetitive Penrose process, for each iteration.

Repetitive Penrose Process in Kerr-Taub-NUT black hole spacetime

Abstract

In this article, we study the repetitive Penrose process for the Kerr-Taub-NUT black hole (BH). First of all, we briefly review the spacetime of the Kerr-Taub-NUT BH, including horizon and ergosphere structures. The results indicate that the event horizon and ergosphere radii increase under the influence of the gravitomagnetic charge . Subsequently, we find by using the irreducible mass of the BH that the extractable energy decreases with the rise of the gravitomagnetic charge. We then turn to the repetitive Penrose process by writing the conservation laws and setting the corresponding iterative stopping conditions. Furthermore, we numerically calculate the change in the BH's parameters, along with the corresponding quantities of the repetitive Penrose process, for each iteration.

Paper Structure

This paper contains 5 sections, 20 equations, 5 figures, 2 tables.

Table of Contents

  1. Introduction
  2. Spacetime and theoretical framework of repetitive Penrose process
  3. Iterative stopping conditions
  4. Numerical results
  5. Conclusions

Figures (5)

  • Figure 1: The plot shows the ergoregion of the Kerr-Taub-NUT BH for various combinations of the spin and gravitomagnetic charge of the BH.
  • Figure 2: Left panel: the dependence of the event horizon and ergosphere on the dimensionless $\hat{l}$ parameter. Here, the spin of the BH is $a/M=1$. Right panel: the extractable energy of the Kerr-Taub-NUT BH as a function of the $\hat{l}$ parameter.
  • Figure 3: The plot demonstrates the minimum spin lower limits as a function of the decay radius $\hat{r}_p$ for the different values of the $\hat{l}$ parameter.
  • Figure 4: The plot compares the minimum spin lower limits for three particles.
  • Figure 5: The plot shows the energy return on investment as a function of the decay radius $\hat{r}_p$ for the different values of the $\hat{l}$ parameter after the ending of the repetitive Penrose process.