The Raychaudhuri equations: A brief review

Pramana

Soumitra Sengupta2¹  Sayan Kar1² 

[1] Department of Theoretical Physics, Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700 032, India$$;Department of Physics and Centre for Theoretical Studies, Indian Institute of Technology, Kharagpur 721 302, India$$

关键词: Raychaudhuri equations;    general relativity;    alternate theories of gravity.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We present a brief review on the Raychaudhuri equations. Beginning with a summary of the essential features of the original article by Raychaudhuri and subsequent work of numerous authors, we move on to a discussion of the equations in the context of alternate non-Riemannian spacetimes as well as other theories of gravity, with a special mention on the equations in spacetimes with torsion (Einstein–Cartan–Sciama–Kibble theory). Finally, we give an overview of some recent applications of these equations in general relativity, quantum field theory, string theory and the theory of relativisitic membranes. We conclude with a summary and provide our own perspectives on directions of future research.

【 授权许可】

Unknown