Using Lyapunov Exponents to portray Black Hole Phase Transitions

Not scheduled
15m
IIT Guwahati

IIT Guwahati

Poster Classical & Quantum Gravity Classical & Quantum Gravity

Speaker

Mr Bhaskar Shukla

Description

We investigate the conjectured relationship between Lyapunov exponents and black hole phase transitions. Our study involves the computation of Lyapunov exponents for both massless and massive particles as a function of temperature. We observe that a first-order phase transition occurs at specific parameter values, where the Lyapunov exponents exhibit a discontinuity, serving as the order parameter. Furthermore, we note a consistent minimum saturation value of Lyapunov exponents at a constant length scale, which remains uniform across all black holes in our analysis.

Email bhaskarspace@outlook.com
Affiliation NIT Rourkela

Author

Co-authors

Dr David Dudal (KU Leuven) Mr Pranaya Pratik Das (NIT Rourkela) Dr Subhash Mahapatra (NIT Rourkela)

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