Comparative Study of the Geodesic Structure of Time-Conformal Quantum-Corrected AdS–Schwarzschild Black Hole

Abstract

This manuscript reports the dynamics of a time-conformal quantum-corrected AdS–Schwarzschild black hole. The quantum-corrected parameter and the time-conformal factors are inserted in the AdS–Schwarzschild black. These insertions in the said space- time are taken to study and understand the phenomena of the formation of gravitational waves and Hawking radiations. The Hawking temperature distributions and Bekenstein–Hawking entropy for the inner and outer horizon of the new developed black hole solution are calculated and discussed. The motion of neutral and charged particles in the orbits of the said black hole is discussed under the influence of effective potential and effective force in the new development of the black hole solution. The escape velocity for the time-conformal black hole is obtained and compared with the escape velocity of the exact black hole. The roles of the quantum-corrected parameter and the effect of the time-conformal factor are high- lighted, and their influences are discussed in different situations. Einstein’s field equations are also obtained for the time-conformal quantum-corrected AdS–Schwarzschild black hole. The Lyapunov exponent is used for the stability of the said black hole spacetime. The effects of different parameters on different dynamical aspects of the black hole are explored.