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# Marginally Stable Circular Orbits in Schwarzschild Black Hole Surrounded by Quintessence Matter

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### Abstract

Marginally stable circular orbits (MSCOs) of a massive test particle are investigated in the spacetime geometry of Schwarzschild black hole surrounded by quintessence. For that matter we consider three important scenarios where the equation of state parameter $$\omega_{q}$$, has one of the following forms (i) $$\omega_q=-1$$ (ii) $$\omega_q=-2/3$$ and (iii) $$\omega_q= -1/3$$. The existence of such marginally stable circular orbits in these scenarios depend on the range of normalization factor $$\alpha$$. Briefly, we show that in the first case such orbits exist only if $$0<\alpha<4/16875$$. Moreover in the second case which is a special Kiselev black hole it is found that MSCOs exist when the value of the normalization factor satisfy $$0<\alpha\leq 0.00536165238$$. In the last case the MSCOs are also shown to exist.

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### The evolutionary sequence of Fermi blazars

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### Author and article information

###### Journal
2016-01-06
10.1140/epjp/i2016-16275-3
1601.01295

Eur. Phys. J. Plus (2016) 131: 275
12 Pages
gr-qc

General relativity & Quantum cosmology