https://doi.org/10.1140/epjp/s13360-025-06413-x
Regular Article
Dynamic stability and radiation characteristics of charged dilatonic black holes in dilaton-massive gravity
1
Department of Natural Sciences and Humanities, University of Engineering and Technology Lahore, New Campus, Lahore, Pakistan
2
Research Center of Astrophysics and Cosmology, Khazar University, 41 Mehseti Street, AZ1096, Baku, Azerbaijan
3
Department of Physics, Durham University, Durham, UK
4
School of Mathematical Sciences, Zhejiang Normal University, 321004, Jinhua, Zhejiang, China
5
Department of Mathematics, University of Management and Technology, Sialkot Campus, Lahore, Pakistan
6
Department of Chemical Engineering, College of Engineering, King Saud University, P.O. Box 800, 11421, Riyadh, Saudi Arabia
7
University of Tashkent for Applied Sciences, Str. Gavhar 1, 100149, Tashkent, Uzbekistan
8
Urgench State University, Kh. Alimdjan Str. 14, 220100, Urgench, Uzbekistan
9
Alfraganus University, Yukori Karakamish Street 2a, 100190, Tashkent, Uzbekistan
a shahidpeak00735@gmail.com, drshahid.ch@uet.edu.pk
b
adnan.malik@skt.umt.edu.pk
Received:
30
November
2024
Accepted:
5
May
2025
Published online:
7
June
2025
We investigate the stability, time evolution, and greybody factors of recently developed charged dilatonic black holes in dilaton-massive gravity by studying their thermodynamic and radiative properties. By incorporating exponential corrections to entropy, we derive expressions for specific heat capacity and Gibbs free energy, enabling a detailed exploration of stable and unstable regions as well as phase transition points. Our findings reveal that exponential entropy corrections and the parameters of dilaton-massive gravity play a pivotal role in shaping the thermodynamic stability landscape, significantly influencing the conditions under which stability transitions occur. Through Gibbs free energy analysis, we demonstrate that smaller black holes exhibit higher Gibbs free energy, correlating with lower thermodynamic stability, whereas larger black holes possess lower Gibbs free energy, indicating greater stability. Additionally, we provide an in-depth investigation of how the coupling between the graviton, dilaton field, and charge affects the frequency and damping offering a new perspective on the dynamic behavior of these black holes. Finally, we show that these parameters profoundly influence the greybody factor bounds, altering the escape channels of Hawking radiation and thereby modifying the observable energy spectra.
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© 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.
