International Journal For Multidisciplinary Research

E-ISSN: 2582-2160   •   Impact Factor: 9.24

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Volume 8 Issue 3
May-June 2026

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A Comparative Analysis of Kinematic Time Dilation in Relativistic Accretion Flows Surrounding Kerr Black Holes

Author(s) Dr. Kanak . Singh
Country India
Abstract This study presents a detailed comparison of kinematic time dilation effects in relativistic accretion flows around Kerr black holes. We examine how frame-dragging from black hole spin, Doppler shifts from orbital motion, and gravitational redshift in curved spacetime interact. This helps us understand how these relativistic effects impact the observed spectra and variability of accretion disks. Our analysis covers black hole spin parameters from the Schwarzschild limit (a = 0) to the extreme Kerr case (a = 0.998).
We look at both co-rotating and counter-rotating accretion flows. The innermost stable circular orbit (ISCO) is the critical point where time dilation effects change significantly. Co-rotating orbits around maximally spinning black holes can achieve binding energies close to 42% of rest mass, which is the theoretical maximum efficiency for accretion disks.
Lense-Thirring precession also affects time dilation patterns in tilted accretion disks when the precession timescale is shorter than the typical accretion timescale. This has implications for quasi-periodic oscillations seen in black hole X-ray binaries. These results provide important insights for interpreting high-resolution spectroscopic observations from missions like IXPE, Athena X-IFU, and future X-ray observatories.
Keywords Black hole physics, Accretion disks, Relativistic processes, Time dilation, Kerr metric, X-ray binaries, Frame dragging
Field Physics
Published In Volume 8, Issue 3, May-June 2026
Published On 2026-05-22
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E-ISSN 2582-2160
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