Abstract
The behavior of the dynamics of neutral and charged particles in the presence of the cosmological constant in the Schwarzschild black hole(SWBH) is presented in this article. Noether symmetries and the corresponding conservation laws are found. It is observed that the Schwarzschild metric, with non-zero cosmological constants, affects the dynamics of the particle. It is also found that for a positive value of the cosmological constant we can define a short interval in which the cosmological constant lies. This is considered a necessary ingredient for the expansion of the Universe.
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