2012/12/23 by Parthapratim Pradhan, Pradhan, Partha Pratim
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph) #Pulsars and Gravitational Waves Research
paper · pdf · doi:10.48550/arxiv.1212.5758
openalex publication_date 2012/12/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We compute the principal Lyapunov exponent and Kolmogorov-Sinai(KS) entropy for Kerr-Newman black hole space-times and investigate the stability and instability of the equatorial circular geodesics via these exponents. We also show that the principal Lyapunov exponent and KS entropy can be expressed in terms of the radial equation of ISCO(innermost stable circular orbit) for timelike circular geodesics. The other aspect we have studied that among the all possible circular geodesics, which encircle the central black-hole, the timelike circular geodesics has the longest orbital period i.e. Ttimelike > Tphoton, than the null circular geodesics (photon sphere) as measured by asymptotic observers. Thus, the timelike circular geodesics provide the slowest way to circle the Kerr-Newman black-hole. In fact, any stable timelike circular geodesics other than the ISCO traverses more slowly than the null circular geodesics.