In this paper, we investigate the center of mass energy of the collision for two neutral particles with different rest masses falling freely from rest at infinity in the background of a Kerr-Newman-Taub-NUT black hole. Further, we discuss the center of mass energy near the horizon(s) of an extremal and non-extremal Kerr-Newman-Taub-NUT black hole and show that an arbitrarily high center of mass energy is achievable under some restrictions.

In this research work, predominantly we acquire area, angular velocity, entropy, surface gravity and Hawking temperature of inner and outer horizons for Kerr-Newman black hole in presence of quintessence. Additionally, we determine area sum, area product, entropy sum and entropy product. We examine that the area product and entropy product are free from mass M but they surly rely upon the angular momentum J, charge q, spin parameter a and the normalization factor c. We monitor that these thermodynamic products are universal. We investigate that the area sum and entropy sum rely upon the mass M , charge q, spin parameter a and the normalization factor c, so these sums are not universal. The black hole mass and Christodoulou-Ruffini mass for Kerr-Newman black hole in quintessence are also found. We extract the entropy bound from the area bound. We derive the Penrose inequality and discuss the microscopic nature of the entropy.

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We study the center of mass energy for three neutral particles in the vicinity of a Kerr-MOG (Modified-Gravity) black hole. In addition, we investigate the center of mass energy close to the horizon(s) of a Kerr-MOG black hole and find that an infinite center of mass energy is attainable under a few constraints.

We study the acceleration of charged particles by Reissner Nordström black hole by taking into account the term appearing in the formula of the center of mass energy due to charge of the particle. We consider that the particle is radially falling towards the black hole, i.e., [Formula: see text]. It is found that the center of mass energy is infinitely large at the outer horizon without any constraint.