Detailed study of geodesics in the Kerr-Newman-(A)dS spactime and the rotating charged black hole spacetime in f(R) gravity (original) (raw)
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We perform a detailed study of the geodesic equations in the spacetime of the static and rotating charged black hole corresponding to the Kerr-Newman-(A)dS spacetime. We derive the equations of motion for test particles and light rays and present their solutions in terms of the Weierstrass ℘, ζ, and σ functions as well as the Kleinian σ function. With the help of parametric diagrams and effective potentials, we analyze the geodesic motion and classify the possible orbit types. This spacetime is also a solution of fðRÞ gravity with a constant curvature scalar.
arXiv: General Relativity and Quantum Cosmology, 2016
We study the geodesic equations in the space time of a rotating charged black hole in f(R)f(R)f(R) gravity. We derive the equations of motion for test particles and light rays and present their solutions in terms of the Weierstrass wp\wpwp, zeta\zetazeta and sigma\sigmasigma functions as well as the Kleinian sigma\sigmasigma function. With the help of parametric diagrams and effective potentials we analyze the geodesic motion and classify the possible orbit types.
Analytical solutions of the geodesic equation in the spacetime of a black hole in f ðRÞ gravity
We consider the motion of test particles in the spacetime of a black hole in fðRÞ gravity. The complete set of analytic solutions of the geodesic equation in the spacetime of this black hole is presented. The geodesic equations are solved in terms of Weierstrass elliptic functions and derivatives of Kleinian sigma functions. The different types of the resulting orbits are characterized in terms of the conserved energy and angular momentum as well as the cosmological constant ðΛÞ and the real constant ðβÞ.
Geodesics of a Static Charged Black Hole Spacetime in f(R) Gravity
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In recent years, the modification of general relativity (GR) through f(R) gravity is widely used to study gravity in a variety of scenarios. In this article, we study various physical properties of a black hole (BH) that emerged in the linear Maxwell f(R) gravity to constrain the values of different BH parameters, i.e., c and α. In particular, we study those values of the defining α and c for which the particles around the above-mentioned BH behave like other astrophysical BH in GR. The main motivation of the present research is to study the geodesics equations and discuss the possible orbits for c=0.5 in detail. Furthermore, the frequency shift of a photon emitted by a timelike particle orbiting around the BH is studied given different values of α and c. The stability of both timelike and null geodesics is discussed via Lyapunov’s exponent.
Circular geodesics in Kerr-Newman-Kasuya black hole
PROCEEDINGS OF THE 14TH ASIA-PACIFIC PHYSICS CONFERENCE
This article explores the characteristics of ergoregion, horizons and circular geodesics around a Kerr-Newman-Kasuya black hole. We investigate the effect of spin and dyonic charge parameters on ergoregion, event horizon and static limit surface of the said black hole. We observed that both electric, as well as magnetic charge parameters, results in decreasing the radii of event horizon and static limit, whereas increasing the area of ergoregion. The obtained results are compared with that acquired from Kerr and Schwarzschild black holes. Moreover, we figured out the photons orbit of circular null geodesics and studied the angular velocity of a particle within ergoregion.
Geodesics and geodesic deviation in static charged black holes
Astrophysics and Space Science, 2010
The radial motion along null geodesics in static charged black hole space-times, in particular, the Reissner-Nordström and stringy charged black holes are studied. We analyzed the properties of the effective potential. The circular photon orbits in these space-times are investigated. We found that the radius of circular photon orbits in both charged black holes are different and differ from that given in Schwarzschild space-time. We studied the physical effects of the gravitational field between two test particles in stringy charged black hole and compared the results with that given in Schwarzschild and Reissner-Nordström black holes.
In this paper we add a compact dimension to Schwarzschild-(anti-) de sitter and Kerr-(anti-) de sitter spacetimes, which describes (rotating) black string-(anti-) de sitter spacetime. We study the geodesic motion of test particles and light rays in this spacetime. We present the analytical solutions of the geodesic equations in terms of Weierstrass elliptic and Kleinian sigma hyperelliptical functions. We also discuss the possible orbits and classify them according to particle's energy and angular momentum. Moreover, the obtained results, are compared to Schwarzschild-(anti-) de sitter and Kerr-(anti-) de sitter spacetimes. * Electronic address: rsk@guilan.ac.ir 1
Motion of a Test Particle in the Kerr-Newman De/Anti De Sitter Space-Time
In this paper we obtain the geodesic equations of motion of a test particle (charged particle and photon) in the Kerr-Newman de/anti de Sitter black hole by using the Hamilton-Jacobi equation. We determine the positions of the inner, outer and cosmological horizons of the black hole. In terms of the effective potentials, the trajectory of the test particle within the inner horizon is studied. It appears that there are stable circular orbits of a charged particle and photon within the inner horizon and that the combined effect of the charge and rotation of the Kerr-Newman de/anti de Sitter black hole and the coupling between the charge of the test particle and the electromagnetic field of the black hole may account for this.