Hysteresis effects and diagnostics of the shock formation in low angular momentum axisymmetric accretion in the Kerr metric

TK Das, B Czerny - New Astronomy, 2012 - Elsevier
The secular evolution of the purely general relativistic low angular momentum accretion flow
around a spinning black hole is shown to exhibit hysteresis effects. This confirms that a …

Michel accretion of a polytropic fluid with adiabatic index: global flows versus homoclinic orbits

E Chaverra, P Mach, O Sarbach - Classical and Quantum Gravity, 2016 - iopscience.iop.org
We analyze the properties of a polytropic fluid that is radially accreted into a Schwarzschild
black hole. The case where the adiabatic index γ lies in the range of $1\lt\gamma\leqslant …

The role of flow geometry in influencing the stability criteria for low angular momentum axisymmetric black hole accretion

S Nag, S Acharya, AK Ray, TK Das - New Astronomy, 2012 - Elsevier
Using mathematical formalism borrowed from dynamical systems theory, a complete
analytical investigation of the critical behaviour of stationary flows in low angular momentum …

On spin dependence of relativistic acoustic geometry

HY Pu, I Maity, TK Das, HK Chang - Classical and Quantum …, 2012 - iopscience.iop.org
This work makes the first ever attempt to understand the influence of the black hole
background spacetime in determining the fundamental properties of the embedded …

Dependence of acoustic surface gravity on geometric configuration of matter for axially symmetric background flows in the Schwarzschild metric

P Tarafdar, TK Das - International Journal of Modern Physics D, 2015 - World Scientific
In black hole evaporation process, the mass of the hole anti-correlates with the Hawking
temperature. This indicates that the smaller holes have higher surface gravity. For analogue …

Black hole spin dependence of general relativistic multi-transonic accretion close to the horizon

TK Das, S Nag, S Hegde, S Bhattacharya, I Maity… - New Astronomy, 2015 - Elsevier
We introduce a novel formalism to investigate the role of the spin angular momentum of
astrophysical black holes in influencing the behavior of low angular momentum general …

Fractal features in accretion discs

N Roy, AK Ray - Monthly Notices of the Royal Astronomical …, 2009 - academic.oup.com
Fractal concepts have been introduced in the accretion disc as a new feature. Due to the
fractal nature of the flow, its continuity condition undergoes modifications. The conserved …

Effective sound speed in relativistic accretion discs around Schwarzschild black holes

MA Shaikh, S Maity, S Nag, TK Das - New Astronomy, 2019 - Elsevier
For low angular momentum axially symmetric accretion flow maintained in hydrostatic
equilibrium along the vertical direction, the value of the Mach number at the critical points …

Secular instability in quasi-viscous disk accretion

JK Bhattacharjee, AK Ray - The Astrophysical Journal, 2007 - iopscience.iop.org
A first-order correction in the α-viscosity parameter of Shakura & Sunyaev has been
introduced in the standard inviscid and thin accretion disk. A linearized time-dependent …

Quasi-viscous accretion flow–I. Equilibrium conditions and asymptotic behaviour

JK Bhattacharjee, A Bhattacharya… - Monthly Notices of the …, 2009 - academic.oup.com
In a novel approach to studying viscous accretion flows, viscosity has been introduced as a
perturbative effect, involving a first-order correction in the α-viscosity parameter. This method …