Hi Manasa,
All universities in India that offer an MBA course also offer a Ph.D. in HR. You can pursue a Ph.D. in Business Management with a specialization in marketing, finance, operations, HR, SCM, e-commerce, etc.
Additionally, you can take the UGC-JRF exam, which is held twice a year in June and December. The University Grants Commission (UGC) provides a stipend of Rs. 8000, or possibly more now, for three years for full-time Ph.D. studies. You can also enroll in ICSSR, the Indian Council for Social Science Research, which offers both student and faculty fellowships for Ph.D. studies. If you are unemployed after completing your MBA, you can enroll in a university and avail yourself of this fellowship, but you must have qualified the UGC-NET (National Eligibility Test). If you are a faculty member in a business school, you can benefit from the faculty pay-protected fellowship, but again, you need to have cleared the UGC-NET.
In Tamil Nadu universities, including IGNOU and others, there are also correspondence Ph.D. programs.
Cheers,
Dr. Prageetha