AdS Length corrected Thermodynamics of a Black Hole in a Cloud of Strings and Perfect Fluid Dark Matter

Abstract

We investigate the thermodynamic characteristics of the Reisner-Nordstrom black hole in AdS spacetime with a cloud of strinsg and perfect fluid dark matter background, employing a minor correction to the AdS radius. Although the entropy remains unaltered, enthalpy, free energies, pressure, internal energy, and specific heat exhibit considerable modifications. These quantities get enhanced generally by the positive correction ($\epsilon > 0$) to the AdS scale and lead to faster growth/ slower decay with increase in horizon radius. The opposite effect is reflected by negative corrections ($\epsilon < 0$), which sometimes result in negative or divergent behaviour. We find an interconnection between the combined effect of exotic matter fields and geometric corrections on black hole thermodynamics and thermodynamic stability.