Axially Symmetric Sharma Mittal Holographic Dark Energy in the Brans- Dicke Theory
Abstract
This study investigates Sharma–Mittal Holographic Dark Energy (SMHDE) within the context of Brans–Dicke theory of gravitation in an Axially Symmetric Cosmological Model. By employing Sharma–Mittal entropy, which provides a unifying generalization of Tsallis and Renyi entropies, a modified form of holographic dark energy density is formulated to incorporate non-extensive thermodynamic effects. The corresponding field equations are derived and solved to obtain exact analytical solutions. Furthermore, key cosmological parameters such as the EoS parameter, deceleration parameter, and squared speed of sound are systematically analyzed to examine the dynamical behaviour and stability of the model. The results indicate that the proposed framework successfully describes the late-time accelerated expansion of the cosmos while also accommodating possible anisotropies in the early cosmos. Overall, the model presents a consistent and physically viable extension of conventional holographic dark energy scenarios within scalar–tensor gravitational theory.
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References
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