Epicyclic oscillations of test particles near marginally stable
circular orbits around charged Kiselev black holes

OVCHINNIKOV, Dmitriy, Muhammad Umar FAROOQ, Ibrar HUSSAIN, Ahmadjon ABDUJABBAROV, Bobomurat AHMEDOV and Zdeněk STUCHLÍK. Epicyclic oscillations of test particles near marginally stable circular orbits around charged Kiselev black holes. Physical Review D. College Park (USA): American Physical Society, 2021, vol. 104, No 6, p. "063027-1"-"063027-29", 29 pp. ISSN 2470-0010. Available from: https://dx.doi.org/10.1103/PhysRevD.104.063027.

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TY  - JOUR
ID  - 57521
AU  - Ovchinnikov, Dmitriy - Farooq, Muhammad Umar - Hussain, Ibrar - Abdujabbarov, Ahmadjon - Ahmedov, Bobomurat - Stuchlík, Zdeněk
PY  - 2021
TI  - Epicyclic oscillations of test particles near marginally stable circular orbits around charged Kiselev black holes
JF  - Physical Review D
VL  - 104
IS  - 6
SP  - "063027-1"-"063027-29"
EP  - "063027-1"-"063027-29"
PB  - American Physical Society
SN  - 24700010
KW  - QUASI-PERIODIC OSCILLATIONS;REISSNER-NORDSTROM-ANTI;COSMOLOGICAL CONSTANT;QUINTESSENCE;SCHWARZSCHILD;MOTION;MODEL;ACCRETION;DYNAMICS;LIGHT
UR  - https://journals.aps.org/prd/abstract/10.1103/PhysRevD.104.063027
N2  - The marginally stable circular orbits (MSCOs) of test particles in the spacetime exterior to a charged Kiselev black hole are investigated for three characteristic values of the equation of state parameter omega(q), namely (i) omega(q) = -1/3, (ii) omega(q) = -1, and (iii) omega(q) = -2/3, and for different values of the normalization factor a and electric charge Q of the black hole. It is found that the presence of the quintessence field shifts outward the innermost stable circular orbits (ISCOs) around the Kiselev black hole, having the same charge parameter Q, as compared to the ISCOs around a Riessner-Nordstrom black hole, while the effect of the quintessence field on the outermost stable circular orbits (OSCOs) is just opposite to that on the ISCOs. Further, the radii of the photon circular orbits are also calculated for different ranges of the parameters a and Q. It is observed that the photon orbits are also shifted outward as the value of a increases. The radial and latitudinal epicyclic motion of test particles, which can be related to the quasiperiodic oscillations of test particles slightly above the MSCOs in the vicinity of the charged Kiselev black hole, is analyzed for the three different values of omega(q). It is seen that the azimuthal and latitudinal frequencies coincide, and the radial epicyclic frequency is different in dependence on the spacetime parameters. In the case of omega(q) = -1/3, the azimuthal and latitudinal frequencies depend on the radial position r of the particle, the charge Q, and the ass M of the black hole, and do not depend on the factor a. However, for omega(q) = -2/3 and omega(q) = -1, these two frequencies, along with the black hole parameters-i.e., M and Q and the radial position r-also depend on the factor a. The radial epicyclic frequency for all the values of.q depends on M, Q, r, and also on the normalization factor a. We also compare the epicyclic frequencies with that for an uncharged black hole. With the increase of electric charge, the ISCO becomes closer to the central object, and one can observe epicyclic frequencies closer to the central object, which makes the epicyclic frequencies larger. The ISCO gets larger as a increases, and thus the epicyclic frequencies can be observed away from the central object and would be smaller as compared to the case of a pure Riessner-Nordstrom black hole without quintessence. As the effect of the parameters Q and a on the OSCOs is just opposite to that on the ISCOs, the epicyclic frequencies near the OSCOs behave the other way around.
ER  -

Basic information
Original name	Epicyclic oscillations of test particles near marginally stable circular orbits around charged Kiselev black holes
Authors	OVCHINNIKOV, Dmitriy (860 Uzbekistan, belonging to the institution), Muhammad Umar FAROOQ, Ibrar HUSSAIN, Ahmadjon ABDUJABBAROV, Bobomurat AHMEDOV (860 Uzbekistan) and Zdeněk STUCHLÍK (203 Czech Republic, belonging to the institution).
Edition	Physical Review D, College Park (USA), American Physical Society, 2021, 2470-0010.

Other information
Original language	English
Type of outcome	Article in a journal
Field of Study	10308 Astronomy
Country of publisher	United States of America
Confidentiality degree	is not subject to a state or trade secret
WWW	URL
RIV identification code	RIV/47813059:19630/21:A0000105
Organization unit	Institute of physics in Opava
Doi	http://dx.doi.org/10.1103/PhysRevD.104.063027
UT WoS	000699731100009
Keywords in English	QUASI-PERIODIC OSCILLATIONS;REISSNER-NORDSTROM-ANTI;COSMOLOGICAL CONSTANT;QUINTESSENCE;SCHWARZSCHILD;MOTION;MODEL;ACCRETION;DYNAMICS;LIGHT
Tags	2022, FÚ, GA19-03950S, RIV22, SGS-12-2019
Tags	International impact, Reviewed
Links	GA19-03950S, research and development project.
Changed by	Changed by: Mgr. Pavlína Jalůvková, učo 25213. Changed: 7/2/2022 12:50.

Abstract

The marginally stable circular orbits (MSCOs) of test particles in the spacetime exterior to a charged Kiselev black hole are investigated for three characteristic values of the equation of state parameter omega(q), namely (i) omega(q) = -1/3, (ii) omega(q) = -1, and (iii) omega(q) = -2/3, and for different values of the normalization factor a and electric charge Q of the black hole. It is found that the presence of the quintessence field shifts outward the innermost stable circular orbits (ISCOs) around the Kiselev black hole, having the same charge parameter Q, as compared to the ISCOs around a Riessner-Nordstrom black hole, while the effect of the quintessence field on the outermost stable circular orbits (OSCOs) is just opposite to that on the ISCOs. Further, the radii of the photon circular orbits are also calculated for different ranges of the parameters a and Q. It is observed that the photon orbits are also shifted outward as the value of a increases. The radial and latitudinal epicyclic motion of test particles, which can be related to the quasiperiodic oscillations of test particles slightly above the MSCOs in the vicinity of the charged Kiselev black hole, is analyzed for the three different values of omega(q). It is seen that the azimuthal and latitudinal frequencies coincide, and the radial epicyclic frequency is different in dependence on the spacetime parameters. In the case of omega(q) = -1/3, the azimuthal and latitudinal frequencies depend on the radial position r of the particle, the charge Q, and the ass M of the black hole, and do not depend on the factor a. However, for omega(q) = -2/3 and omega(q) = -1, these two frequencies, along with the black hole parameters-i.e., M and Q and the radial position r-also depend on the factor a. The radial epicyclic frequency for all the values of.q depends on M, Q, r, and also on the normalization factor a. We also compare the epicyclic frequencies with that for an uncharged black hole. With the increase of electric charge, the ISCO becomes closer to the central object, and one can observe epicyclic frequencies closer to the central object, which makes the epicyclic frequencies larger. The ISCO gets larger as a increases, and thus the epicyclic frequencies can be observed away from the central object and would be smaller as compared to the case of a pure Riessner-Nordstrom black hole without quintessence. As the effect of the parameters Q and a on the OSCOs is just opposite to that on the ISCOs, the epicyclic frequencies near the OSCOs behave the other way around.

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Epicyclic oscillations of test particles near marginally stable circular orbits around charged ...

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