There are not so many studies of brain electrical activity because in most sports there is high frequency of artifacts of non-cerebral origin that arise from the athletes motion.

However, there are some studies available.

http://www.hindawi.com/journals/np/2015/717312/abs/

http://www.sciencedirect.com/science/article/pii/S1046202308001163

http://jap.physiology.org/content/91/5/2017

http://link.springer.com/article/10.1007/s004240100515

http://www.sciencedirect.com/science/article/pii/S016501730900126X

http://www.sciencedirect.com/science/article/pii/S0167876011002741

http://onlinelibrary.wiley.com/doi/10.1002/hbm.20776/abstract;jsessionid=EA673F863BB1D4578ED5891A3E812A25.f01t03?deniedAccessCustomisedMessage=&userIsAuthenticated=false

http://www.sciencedirect.com/science/article/pii/S0167876011002704

http://www.sciencedirect.com/science/article/pii/S0361923009003426

http://www.sciencedirect.com/science/article/pii/S1388245707001927

http://www.sciencedirect.com/science/article/pii/S1053811907001668

http://www.sciencedirect.com/science/article/pii/S1388245709007561

http://www.sciencedirect.com/science/article/pii/S0361923009000616

http://psycnet.apa.org/psycinfo/2002-15310-005 

Best regards,

Jan Homolak

I highly recommend Park, Fairweather & Donaldson's excellent review in Neuroscience & Behavioral Reviews: 

Park, J.L., Fairweather, M.M., & Donaldson, D.I. (2015). Making the case for mobile cognition: EEG and sports performance. Neuroscience & Behavioral Reviews, 52, 117-130.

Best,

Robin

thanks  Jan Homolak , Robin

thanks Anthony G Gordon for your reply 

actually i think there are difference between sports such as sports depend on thinking and relaxation more than other sports like archery etc so This affects extension on brain activity