Stationary equilibrium of test particles near charged black branes with the hyperscaling violating factor
Abstract
We explore the upper bound of the Lyapunov exponent for test particles that maintain equilibrium in the radial direction near the charged black brane with the hyperscaling violating factor. The influences of black brane parameters (hyperscaling violation exponent θ and dynamical exponent z ) are investigated. We show that the equilibrium in the radial direction of test particles can violate the chaos bound. The chaos bound is more easily violated for the near-extremal charged black branes. When the null energy condition (Tμ νξμξν≥0 ) is broken, the bound is also more likely to be violated. These results indicate that the chaos bound of particle motion is related to the temperature of the black hole and the null energy condition (NEC). By considering the zero-temperature and Tμ νξμξν=0 cases, we obtain the critical parameters θc and zc for the violation of chaos bound. The chaos bound is always satisfied in the range θ >θc or z >zc.
- Publication:
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Physical Review D
- Pub Date:
- May 2023
- DOI:
- arXiv:
- arXiv:2302.12812
- Bibcode:
- 2023PhRvD.107j6002L
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 15pages