  A general description for relativistic magnetic reconnection is given in
terms of asymmetric inflow plasma conditions, such as plasma density, velocity
magnetic field strength, and their respective thermal-inertial effects. In this
work, we show that thermal-inertial effects increase reconnection rates,
generalizing previous results. Furthermore, different reconnection rates can be
defined depending on the initial asymmetric conditions for the inflow plasma
into the reconnection region. We explore two possibilities for reconnection
rates, which, depending on the asymmetric magnetization, display different
strengths. We discuss the importance on defining appropriate reconnection rates
for corresponding asymmetric plasma systems in the context of previous results.
