Thermodynamics of Bardeen black holes in restricted phase space

 Thermodynamics of Bardeen black holes in restricted phase space


In the landscape of gravitational theories, the study of black hole thermodynamics provides a crucial link between classical general relativity and quantum field theory. Among these exotic objects, Bardeen black holes stand out as regular (non-singular) black holes, introduced as a solution to Einstein’s field equations coupled with nonlinear electrodynamics. Unlike traditional black holes, Bardeen black holes are characterized by the absence of curvature singularities at the core, making them powerful models to probe the physics of the early universe and quantum gravity regimes.

When examined under the framework of restricted phase space thermodynamics, Bardeen black holes exhibit rich thermodynamic structures, including critical behavior, phase transitions, and heat engine cycles. Restricted phase space analysis treats certain parameters (like the cosmological constant or nonlinear charge) as thermodynamic variables, offering a deeper perspective on black hole energy, pressure, and volume relationships.

The thermodynamic stability of these black holes often depends on horizon radius, temperature profiles, and specific heat. Notably, phase transitions akin to those in Van der Waals fluids are observed, especially when analyzing the black hole’s equation of state in extended or restricted phase spaces. These transitions correspond to shifts between small and large black hole configurations, governed by parameters like the nonlinear magnetic charge.

Such insights not only extend our understanding of black hole microstates and entropy-area relations but also enhance our grasp of holographic principles and dual quantum field theories. In a cosmological context, they provide implications for early-universe singularity resolution and dark energy models.

Overall, the thermodynamics of Bardeen black holes in restricted phase space is a compelling intersection of classical thermodynamics, nonlinear electrodynamics, and quantum gravity—one that continues to inspire exploration across theoretical physics.

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More Info: physicistparticle.com

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