A Black Hole Solution in Kalb-Ramond Gravity with Quintessence Field: From Geodesic Dynamics to Thermal Criticality

TL;DR

This paper explores black hole solutions in Kalb-Ramond gravity with quintessence, analyzing how Lorentz violation and exotic matter influence spacetime, particle dynamics, lensing, and thermodynamics, offering potential observational signatures.

Contribution

It provides new analytical models of black holes incorporating Lorentz violation and quintessence, detailing their effects on geodesics, shadows, wave stability, and thermodynamic phase structures.

Findings

Modified photon sphere and ISCO properties due to parameters

Analytical black hole shadow radii dependent on quintessence states

Altered thermodynamic phase behavior and stability characteristics

Abstract

We present a theoretical investigation of black hole solutions in Kalb-Ramond gravity embedded with quintessence fields. Our study examines how combined effects of Lorentz violation through the Kalb-Ramond field parameter $\eta$ and exotic matter contributions via quintessence parameters $(\mathrm{C}, w)$ systematically modify spacetime geometry, particle dynamics, and observational signatures compared to standard Schwarzschild black holes. The analysis encompasses geodesic motion for both photons and massive particles, revealing substantial modifications to effective potentials, photon sphere characteristics, and innermost stable circular orbit properties. We derive analytical expressions for black hole shadow radii across different quintessence states, demonstrating systematic parameter dependencies enabling observational discrimination between theoretical frameworks. Our perturbation analysis of scalar and electromagnetic fields shows how Lorentz violation and quintessence effects alter wave propagation and stability properties. Using Gauss-Bonnet theorem methodology, we calculate gravitational lensing deflection angles incorporating both modified gravity and exotic matter contributions. The thermodynamic investigation reveals complex phase structures with modified Hawking temperature evolution, Gibbs free energy characteristics, and specific heat capacity behavior significantly deviating from general relativity predictions. Lorentz violation amplifies gravitational effects, whereas quintessence exerts counteractive forces, generating complex parameter spaces allowing precise manipulation of observable quantiti