Hello Aspirant,

For individuals who wish to finish their studies more quickly, an online PhD is a great choice. While online PhD programmes may be completed in as little as three years, traditional PhD programmes can take up to eight years to complete. Furthermore, the cost of an online PhD is lower than that of a regular PhD.

Some of the entrance exams:
University Grants Commission National Eligibility Test (UGC NET)
Delhi University Entrance Test (DUET)
Research Entrance Test (RET)
Preliminary Eligibility Test (PET)
Combined Research Entrance Test (CRET)

Some of the colleges:

AMU Aligarh
APSU Rewa - Awadhesh Pratap Singh University, Rewa
Baba Mastnath University, Rohtak
BBAU Lucknow - Babasaheb Bhimrao Ambedkar University, Lucknow
BHU Varanasi - Banaras Hindu University, Varanasi
Amity University Gurgaon - Amity University, Gurugram
Andhra University, Visakhapatnam
Annamalai University
AKU Patna - Aryabhatta Knowledge University, Patna
BU Bhopal - Barkatullah University, Bhopal
Berhampur University - Berhampur University, Berhampur

You can refer the below link for more details:

https://university.careers360.com/colleges/list-of-phd-in-political-science-universities-in-india

ALL THE BEST

Hello student

Colleges offering phD in political science through online mode are

Indira Gandhi National Open university ( IGNOU)

Fees 16,800

Osmania university, hyderabad ,fees 25,000

Karnataka state Open university,  karnataka, fees 15 000

Jamia Milia Islamia. New delhi ,fees 25,000

Kota Open university, Rajasthan, fees 20,000

Entrance exam- UGC NET ,DUET

Average salary - 6 to 10 lakh per annum