Using an Arduino on a motorcycle
Accordly to Arduino Technical Specs:

-Input Voltage (recommended)    7-12V

-Input Voltage (limit)  6-20V

https://www.arduino.cc/en/main/arduinoBoardUno

Another Arduino thread:
https://forum.arduino.cc/index.php?topic=22676.0

I would say a better choice is to use another battery power supply just for Arduino. Is is easy to install, easier to handle and more verstile unless you really needs to use your motorcycle battery. And if you want or need to read your motorcycle battery just use a portable voltage meter plugged onto Arduino with no need to use your vehicle battery to power it.