Particle creation and evaporation in Kalb-Ramond gravity

In this work, we examine particle creation and the evaporation process in the context of Kalb-Ramond gravity. Specifically, we build upon two existing solutions from the literature [1] (Model I) and [2] (Model II), both addressing a static, spherically symmetric configuration. For this study, we focus on the scenario in which the cosmological constant vanishes. The analysis begins by examining bosonic particles to investigate Hawking radiation. Using the Klein-Gordon equation, the Bogoliubov coefficients are derived, highlighting the role of the parameter $\ell$, which governs Lorentz symmetry breaking, in introducing corrections to the amplitude of particle production. This forms the basis for calculating the Hawking temperature. The study further explores Hawking radiation through the tunneling mechanism, where divergent integrals are solved using the residue method. The particle creation density is also computed for fermionic particle modes. Additionally, greybody bounds are evaluated for bosons and fermions as well. Finally, we analyze the deviation of our results from those predicted by general relativity. In a general panorama, Model I exhibits the highest particle creation densities and the fastest evaporation process, whereas Model II shows the largest greybody factor intensities.