Annamalai University

After completing your Master;s degree with a minimum of 55%, you need to qualify the tests such as GATE/CSIR-NET/ JEST and TIFR /NEST /SLET, etc. If you qualify the written test, then you'll be called for the interview. In some universities, you'll be required to undergo their separate written test and interview. Ph.D is offered in two modes: Part-Time and Full-Time.
Part-Time: A candidate has to attend classes on weekends. Full-Time: A candidate has to attend regular classes (56 days a week). I am enlisting a few good colleges which are doing really well in this field of research. You can do it from:
Delhi University, University of Hyderabad, Jadavpur University, Jawaharlal Nehru University, Lovely Professional University, Jamia Mililia Islamia University, Banaras Hindu University, Aligarh Muslim University, University of Mumbai, Christ university, MS Ramaiah University, The Maharaj Sayaji Rao University, Anna University and Indira Gandhi National Open University (New Delhi).

No, Annamalai does not offer distance LLB, I mentioned below all distance learning programs which you can do from Annamalai Distance University. Masters level courses:
MBA in International Business
MBA in Human Resource Management
MBA in E Business Management
MBA in Marketing Management
MBA in General Management
Master of Commerce (M.Com)
MBA in Finance Management
Bachelors Level Course
Bachelor of Commerce (B.Com) International Business
Bachelor of Commerce (B.Com)
Bachelor of Business Administration (BBA)
PG Diploma Level Course
PG Diploma
PGD in Business Administration
PGD in Financial Management
You can talk with me if you want to know more about Annamalai courses.