Universal exponents of black hole phase transition at zero-temperature limit

TL;DR

This paper uncovers universal critical exponents for black hole phase transitions at zero temperature, demonstrating their independence from charge and spin, and providing insights into quantum gravity.

Contribution

It derives universal critical exponents for black hole phase transitions at zero temperature, revealing their independence from charge and spin.

Findings

Universal exponents: α=1, β=2, γ=d-3.

Exponents are unaffected by black hole charge and spin.

Provides insights into quantum gravity near zero temperature.

Abstract

In this work, we investigate the universal thermodynamic characteristics of black hole phase transitions at the zero-temperature limit. Our results reveal that, far below the critical point, the near zero-temperature region also exhibits universal properties. By employing the Maxwell equal area law and analyzing the coexistence curve of black hole phase transitions, we derive three universal exponents: $\alpha=1$, $\beta=2$, and $\gamma=d-3$, where $d$ represents the spacetime dimension number. Furthermore, additional studies show that these exponents remain unchanged regardless of the black hole's charge and spin. These universal exponents provide valuable insights into enhancing our understanding of black hole thermodynamic phase transitions near zero temperature and shed light on the fundamental aspects of quantum gravity.