Thermodynamic properties and shadows of black holes in f(R, T) gravity

2025-01-01

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Hazarika, Bidyut *

Phukon, Prabwal

DOI：10.15302/frontphys.2025.035201

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We explored two f (R, T) gravity models and derived black hole solutions within these models. We focus on investigating how the f(R,T) model influences the thermodynamic characteristics of black holes by studying their thermodynamic topology and thermodynamic geometry. We considered five specific values of the thermodynamic parameter omega, which signify five different classes of black hole solutions in general relativity (GR). observed significant changes in the local topological properties of these black holes compared to GR, depending on the model parameters. Notably, we identified an additional topological class W = 0 for some values of omega that is absent in the GR framework. We also studied the modynamic geometry of the black hole using the Geometrothermodynamics (GTD) formalism. Our analysis demonstrates that the singular point, where the GTD scalar curvature diverges, corresponds exactly to the point where the heat capacity changes sign. Additionally, we constrained model parameters of both models considered by utilizing black shadow data from the Sgr A* black hole, measured by the Event Horizon Telescope (EHT).

Keywords:

f(R,T) gravity

black hole thermodynamics

black hole shadows

Thermodynamic properties and shadows of black holes in f(R, T) gravity

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