eng Science and Education Publishing Applied Mathematics and Physics 2014-10-23 2 5 157 160 10.12691/amp-2-5-1 AMP2014251 article Shabir Ahmad Akhoon 1 Ashaq Hussain Sofi shifs237@gmail.com 1 Anil Maini 2 Asloob Ahmad Rather 3 Department of Physics, National Institute of Technology, Srinagar, Kashmir, India Department of Applied Sciences, College of Engineering and Technology, BGSB University, Rajouri, India Department of Physics, Aligarh Muslim University, U.P, India 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. http://pubs.sciepub.com/amp/2/5/1/amp-2-5-1.pdf de Sitter spacetime four sphere degrees of freedom Einstein tensor