If you are staying in the Netherlands for less than 4 months in any six-month period, you can register with one of the 19 municipalities in the Netherlands (including Eindhoven) as a non-resident under a special registration provision for the Registratie Niet-Ingezetenen, RNI (Registration of Non-Residents).
You will receive your BSN during the appointment. Note that this BSN is not a temporary BSN; it is a lifetime BSN for non-residents. In case you need to reside in the Netherlands longer and thus need to change from an RNI to a BRP registration, or you will come back to the Netherlands in the future, your BSN remains the same. Please bring your original and valid passport to the appointment. To make an appointment for such an RNI, please visit the website of the municipality of Eindhoven.