Assuming you can get a total vacuum inside the sphere, and a place for the horse to pull on without dying.
Pressure in space: Halliday, David. Fundementals of Physics 6th Edition, New York: Wiley. 2001 1.46x 10^-18 Pascals
Using Google to convert Pascals to lbs/sq in and light years to a surface area in inches:
Area of globe 3 x 10^28 sq inches
Pressure = 2 x 10^-22 lbs per sq inch
Total force = 6 x 10^6 lbs
Pulling force of adult horse : 1500 lbs : http://www2.avs.org/historybook/links/magden.htm
Number of horses needed: just 4000
All subject to me doing all the math right