Abstract

Abstract In this article, we explore the effect of the cosmological constant ( Λ ) on the dynamics of neutral as well as charged particles in vicinity of the time conformal Schwarzschild black hole. The general time conformal term e ϵ f ( t ) is introduced in the AdS-Schwarzschild spacetime, where f(t) is an arbitrary function of time t and ϵ is a small parameter which causes perturbation in the spacetime. The corresponding Lagrangian is used in the Noether symmetry equation which gives a system of 19 partial differential equations (PDEs). The solution of the 19 PDEs give us the require time conformal AdS-Schwarzschild spacetime along with approximate Noether symmetries and conservation laws. The dynamics of neutral and charged particles are discuss over the fabric of time conformal Ads–Schwarzschild spacetime.

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