Goel, Ram Narain Dudi and Narain Pachariya, all BJP nominees, entered the fray for three Rajya Sabha seats from Rajasthan, the state election office said.
No other candidates have filed their nominations from the state and all the three are set to be elected unopposed after the last date of withdrawal of papers on January 31.
The BJP posted an emphatic win in the recent assembly polls in the desert state bagging 163 seats in the 200-member House.
Four AIADMK nominees, L Sasikala Pushpa, Vijila Sathyanand, A K Selvaraj and S Muthukaruppa, CPI(M)'s T K Rangarajan and DMK's Tiruchi N Siva are likely to be elected
uncontested as theirs are the only serious nominations for the six vacancies.
For Siva it will be the third term while for Rangarajan it will be the second.