Kerr 时空赤道面上零测地线方程的严格求解

doi:10. 16854 /j. cnki. 1000-0712. 170603

College Physics ›› 2018, Vol. 37 ›› Issue (7): 23-24.doi: 10. 16854 /j. cnki. 1000-0712. 170603

Previous Articles Next Articles

The exact solution to null geodesics at the equatorial plane in Kerr spacetime

ZHAO Fan1，HE Feng2

1. Orient Science and Technology College，Hunan Agricultural University，Changsha 410128，China 2. College of Physics and Electronic Science，Hunan University of Science and Technology，Xiangtan 411201，China

Online:2018-07-20 Published:2018-07-20

Abstract

Abstract: The two first integrals of geodesics given by the Euler - Lagrange equations are found at the equatorial plane in Kerr spacetime. Combining the constraint for null geodesics，the orbit differential equation is obtained.The roots of a quartic in integrand are found and reordered. The solution of orbit differential equation can be expressed exactly by the elliptic of the first kind and the third kind.

Key words: Kerr spacetime, null geodesic, exact solution, elliptic integral

ZHAO Fan1，HE Feng2. The exact solution to null geodesics at the equatorial plane in Kerr spacetime [J].College Physics, 2018, 37(7): 23-24.

[1]	YANG Wei. One-dimensional potential scattering of th(λx) [J]. College Physics, 2023, 42(6): 21-.
[2]	ZHOU Qunyi, MO Yunfei, HOU Zhaoyang, ZHOU Lili. Calculating and drawing the mutual inductance coefficient and the force between two coaxial circular currents [J]. College Physics, 2020, 39(10): 5-11.
[3]	YANG Tianhu, YUE Zhiming, LI Yuhong, . A simple and practical approximate formula for the period of simple pendulum [J]. College Physics, 2020, 39(10): 18-21.
[4]	JIANG Jun-qin. Self-inductance of tightly wound ellipsoidal coil [J]. College Physics, 2019, 38(5): 20-.
[5]	. The electric field intensity of a homogeneously charged cylindrical surface having limited length [J]. College Physics, 2019, 38(3): 49-.
[6]	LIU Chun-ping, ZHANG Qun-ying. Notes on exact solutions for ( 2+1) -dimensional dispersive long wave equation [J]. College Physics, 2019, 38(12): 18-.
[7]	ZHAO Fan2，HE Feng2，REN Wen-hui3. Einstein’s ring of a distant star formed by the sun’s gravity [J]. College Physics, 2018, 37(5): 49-51.
[8]	JIANG Jun-qin. Axial symmetry magnetic vector potential and magnetic induction lines [J]. College Physics, 2018, 37(1): 30-36.
[9]	LI Li1，ZHANG Yin2. An analytic solution and asymptotic behavior for traction time of point charge to grounded conducting sphere [J]. College Physics, 2018, 37(1): 46-47.
[10]	YANG　Juan1，YU　You-sheng2. Exact　solutions　for(2+1)-dimensional　dispersive　long　wave　equation [J]. College Physics, 2017, 36(12): 26-27.
[11]	LANG Jun，JIANG Fu-jin . Research on the trajectory equation and the cycle of the system of one rope with three balls [J]. College Physics, 2017, 36(10): 24-28.
[12]	. Computation of capacitance for with edge non-parallel plate capacitor effects [J]. , 2015, 34(5): 22-22.
[13]	. Effects of elliptic flattening on magnetic field distribution in central axis line generated by an elliptic electric current [J]. , 2015, 34(5): 25-25.
[14]	. Theoretical calculations and experimental tests of magnetic field at any point of symmetric axis of parabolic current [J]. , 2014, 33(4): 11-11.
[15]	. A simple approach for solving nonlinear telegraph equation [J]. , 2014, 33(4): 15-15.

The exact solution to null geodesics at the equatorial plane in Kerr spacetime

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 0