Abstract
The Legendre-functions of the first kind, P l(x), and of the second kind, Q l(x), are both solutions of the ordinary Legendre differential equation.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Abramowitz, M., Stegun, I., 1970: Handbook of Mathematical Functions, Dover Publications, New York.
Blanchet, L., Damour, T., 1986: Radiative gravitational fields in general relativity: I. General structure of the field outside the source. Phil. Trans. Roy. Soc. London, A320, pp. 379–430.
Damour, T., Iyer, B.R., 1991a: Post-Newtonian generation of gravitational waves. II: The spin moments, Ann. Inst. Henri Poincaré 54, pp. 115–164.
Damour, T., Iyer, B.R., 1991b: Multipole analysis for electromagnetism and lineatized gravity with irreducible Cartesian tensors, Phys. Rev., D 43, pp. 3259–3272.
Damour, T., Soffel, M., Xu, C., 1991: General-relativistic celestial mechanics. I. Method and definition of reference systems, Phys. Rev., D 43, pp. 3273–3307 (DSX-I).
Damour, T., Soffel, M., Xu, C., 1992: General-relativistic celestial mechanics. II. Translational equations of motion, Phys. Rev., D 45, pp. 1017–1044 (DSX-II).
Damour, T., Soffel, M., Xu, C., 1993: General-relativistic celestial mechanics. III. Rotational equations of motion, Phys. Rev., D 47, pp. 3124–3135 (DSX-III).
Henry, R.C., 2000: The Kretschmann scalar for a Kerr-Newman Black Hole, Astrophys. J., 535, pp. 350–353.
Misner, C.W., Thorne, K.S., Wheeler, J.A., 1973: Gravitation, Freeman, San Francisco (MTW).
Thorne, K., 1980: Multipole expansions of gravitational radiation, Rev. Mod. Phys., 52, pp. 299–339.
Weinberg, S., 1972: Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity, Wiley & Sons, New York.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Soffel, M.H., Han, WB. (2019). Appendix. In: Applied General Relativity. Astronomy and Astrophysics Library. Springer, Cham. https://doi.org/10.1007/978-3-030-19673-8_13
Download citation
DOI: https://doi.org/10.1007/978-3-030-19673-8_13
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-19672-1
Online ISBN: 978-3-030-19673-8
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)