Applied Mathematics and Physics
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Applied Mathematics and Physics. 2014, 2(5), 157-160
DOI: 10.12691/amp-2-5-1
Open AccessArticle

Spherical Harmonic on a Four Sphere

Shabir Ahmad Akhoon1, Ashaq Hussain Sofi1, , Anil Maini2 and Asloob Ahmad Rather3

1Department of Physics, National Institute of Technology, Srinagar, Kashmir, India

2Department of Applied Sciences, College of Engineering and Technology, BGSB University, Rajouri, India

3Department of Physics, Aligarh Muslim University, U.P, India

Pub. Date: October 23, 2014

Cite this paper:
Shabir Ahmad Akhoon, Ashaq Hussain Sofi, Anil Maini and Asloob Ahmad Rather. Spherical Harmonic on a Four Sphere. Applied Mathematics and Physics. 2014; 2(5):157-160. doi: 10.12691/amp-2-5-1

Abstract

In this paper, we will analyse the scalar harmonics on a four sphere using a associated Legendre function. Then, we will use these modes to construct two types of vector harmonics on a four sphere. Finally, we will also construct three types of tensor harmonics on a four sphere. As there is a relation between de Sitter spacetime and four sphere, these modes are related to the modes on de Sitter spacetime.

Keywords:
de Sitter spacetime four sphere degrees of freedom Einstein tensor

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