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Spinor Field at the Phase Transition Point of Reissner-Nordström de Sitter Space

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Abstract

The radial parts of Dirac equation between the outer black hole horizon and the cosmological horizon are solved in Reissner-Nordström de Sitter (RNdS) space when it is at the phase transition point. We use an accurate polynomial approximation to approximate the modified tortoise coordinate \(\hat{r}_{*}\) in order to get the inverse function \(r=r(\hat{r}_{*})\) and the potential \(V(\hat{r}_{*})\). Then we use a quantum mechanical method to solve the wave equation numerically. We consider two cases, one is when the two horizons are lying close to each other, the other is when the two horizons are widely separated.

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Authors and Affiliations

  1. College of Physics Science and Technology, Shenyang Normal University, Shenyang, 110034, Liaoning Province, People’s Republic of China

    Yan Lyu, Li-Qing Zhang, Wei Zheng & Qing-Chao Pan

Authors
  1. Yan Lyu
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  2. Li-Qing Zhang
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  3. Wei Zheng
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  4. Qing-Chao Pan
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Correspondence to Yan Lyu.

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Lyu, Y., Zhang, LQ., Zheng, W. et al. Spinor Field at the Phase Transition Point of Reissner-Nordström de Sitter Space. Int J Theor Phys 49, 1759–1767 (2010). https://doi.org/10.1007/s10773-010-0356-8

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  • DOI: https://doi.org/10.1007/s10773-010-0356-8

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