https://doi.org/10.1140/epjp/s13360-025-06825-9
Regular Article
Manifestation of lovelock gravity in the thermodynamic evolution of static black holes under quantum corrections
1
Department of Mathematics, The University of Burdwan, Golapbag Academic Complex, 713104, Purba Bardhaman, West Bengal, India
2
Department of Physics, Jadavpur University, 700032, Kolkata, West Bengal, India
a
arpanbhattacharya616@gmail.com
Received:
17
April
2025
Accepted:
3
September
2025
Published online:
17
September
2025
This work mainly focused on the study of thermal stability and phase evolution of the static black holes with quantum corrections of its thermodynamic parameters, in the framework of Lovelock gravity with different orders. At the same time, the impact of the Lovelock gravity on these crucial thermodynamic parameters of the black holes in case of higher dimension (
) has also been investigated rigorously. Significant impact of quantum corrections of the black hole parameters on the structural evolution of the black holes has been investigated crucially. Further, newly obtained black hole entropy under logarithmic corrections also has been employed which has also significant influence on the structural as well as phase evolution of the static black holes. Additionally, pressure–volume (
) and newly obtained temperature–entropy (
) criticalities have been studied to give proper justification for the behavioral changes of various thermodynamic parameters such as specific heat, Gibbs free energy and enthalpy of the static black holes under evolution, which we have obtained in this current work. Further, the physical significance of the evolution of various thermodynamic parameters also has been cultivated. Moreover, the significance of the appearance of different cuspidal nodes in the study of free energy parameters has been discussed elaborately. We have obtained an explicit scenario of the structural evolution and stability of the static black holes under quantum corrections with different orders of the Lovelock gravity under higher dimensions.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
