  This article deals with the study of some properties of the static and
rotating black holes in Kalb-Ramond gravity in four dimensional spacetime.
First, we discuss the action of the corresponding theory and the static black
hole metric. Then we investigate the light sphere for the static black hole by
using the Hamiltonian formalism and the corresponding linear radius of the
shadow, angular velocity and Lyapunov exponent. For the rotating black hole, we
discuss the horizon structure. Moreover, we study the effective potential to
discuss the structure of null sphere and unstable circular null orbits around
the rotating black hole. The properties such as energy emission rate and
distortion are calculated and analyzed by using the numerical data for the
shadows calculated by appropriately chosen parametric values for two different
angular locations of the observer off the equatorial plane. We also obtain the
constraints on the black hole parameters by comparing the shadow sizes of the
black hole in Kalb-Ramond gravity and the supermassive black holes M87* and Sgr
A*. Finally, we investigate the effect of mass, energy, angular momentum and
the black hole parameters on the center of mass energy of two colliding
particles that are accelerated in the vicinity of the black hole.
