Motion of a Test Particle in the Kerr-Newman De/Anti De Sitter Space-Time

Affiliation(s)

Department of Physics, Manipur University, Canchipur, Imphal, India.

Department of Physics, Pettigrew College, Ukhrul, India.

Department of Physics, Manipur University, Canchipur, Imphal, India.

Department of Physics, Pettigrew College, Ukhrul, India.

ABSTRACT

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.

KEYWORDS

Geodesic Equations, Kerr-Newman De/Anti De Sitter Black Hole, Inner and Outer Event Horizons, Stable Circular Orbits

Geodesic Equations, Kerr-Newman De/Anti De Sitter Black Hole, Inner and Outer Event Horizons, Stable Circular Orbits

Cite this paper

Heisnam, S. , Meitei, I. and Singh, K. (2014) Motion of a Test Particle in the Kerr-Newman De/Anti De Sitter Space-Time.*International Journal of Astronomy and Astrophysics*, **4**, 365-373. doi: 10.4236/ijaa.2014.42031.

Heisnam, S. , Meitei, I. and Singh, K. (2014) Motion of a Test Particle in the Kerr-Newman De/Anti De Sitter Space-Time.

References

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http://dx.doi.org/10.1103/PhysRevD.81.044020

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[15] Bardeen, J.M., Press, W.H. and Teukolsky, S.A. (1972) Rotating Black Holes: Locally Nonrotating Frames, Energy Extraction and Scalar Synchrotron Radiation. Astrophysical Journal, 178, 347-369.

http://dx.doi.org/10.1086/151796

[16] Gerolamo, C. (1545) Ars Magna or the Rules of Algebra. Dover.

[1] Sahni, V. and Starobinsky, A. (2000) The Case for a Positive Cosmological -Term. International Journal of Modern Physics D, 9, 373-443.

[2] Sahni, V. (1990) Energy Density of Relic Gravity Waves from Inflation. Physical Review D, 42, 453-463. http://dx.doi.org/10.1103/PhysRevD.42.453

[3] Perlmutter, S., et al. (1998) Discovery of a Supernova Explosion at Half the Age of the Universe. Nature, 391, 51-54.

[4] Perlmutter, S., et al. (1997) Measurements of the Cosmological Parameters Ω and Λ from the First Seven Supernovae at z ≥ 0.35. Astrophysical Journal, 483, 565-581.

[5] Riess, A.G., et al. (1998) Observational Evidence from Supernova for an Accelerating Universe and a Cosmological Constant. Astronomical Journal, 116, 1009-1038.

[6] Perlmutter, S. (1999) Measurement of Ω and Λ from 42 High-Redshift Supernovae. Astrophysical Journal, 517, 565-586. http://dx.doi.org/10.1086/307221

[7] Sen, A. (1998) Developments in Superstring Theory.

[8] Chandrasekhar, S. (1983) The Mathematical Theory of Black Holes. Clarendon Press, Oxford.

[9] Dokuchaev, V.I. (2010) Is There Any Life inside Black Hole? Classical and Quantum Gravity, 28, 235015-235026.

[10] Bicak, J., Stuchlik, Z. and Balek, V. (1989) The Motion of Charged Particles in the Field of Rotating Charged Black Holes and Naked Singularities-I. Bulletin of the Astronomical Institutes of Czechoslovakia, 40, 65-92.

[11] Balek, V., Bicak, J. and Stuchlik, Z. (1989) The Motion of the Charged Particles in the Field of Rotating Charged Black Holes and Naked Singularities-II. Bulletin of the Astronomical Institutes of Czechoslovakia, 40, 133-165.

[12] Hackmann, E., Kagramanova, V., Kunz, J. and Lammerzahl, C. (2010) Analytical Solution of the Geodesics Equation in Kerr-(anti)de Sitter Space-Times. Physical Review D, 81, 044020-38.

http://dx.doi.org/10.1103/PhysRevD.81.044020

[13] Carter, B. (1968) Global Structure of the Kerr Family of Gravitational Fields. Physical Review, 174, 1559-1571. http://dx.doi.org/10.1103/PhysRev.174.1559

[14] Padmanabhan, T. (2010) Gravitation: Foundations and Frontier. Cambridge University Press, Cambridge. http://dx.doi.org/10.1017/CBO9780511807787

[15] Bardeen, J.M., Press, W.H. and Teukolsky, S.A. (1972) Rotating Black Holes: Locally Nonrotating Frames, Energy Extraction and Scalar Synchrotron Radiation. Astrophysical Journal, 178, 347-369.

http://dx.doi.org/10.1086/151796

[16] Gerolamo, C. (1545) Ars Magna or the Rules of Algebra. Dover.