Gulfstream V Captain reported a loss of oil pressure in one engine resulting in an air return for a single engine landing.

Narrative

After approximately 45 min of flight; Red CAS message 'R ENG LOW OIL PRES' was displayed. Following this we immediately started the appropriate procedure; after verifying the oil temperature was stable and not increasing we decided to keep the engine running but divert immediately back to departure airport ZZZ declaring urgency condition to ATC. After turning back and initiating a descent (to increase the fuel burn and reduce the landing mass) we observed a steady but slow increase on the right engine oil temperature; we started the APU and decided to go ahead with the engine shut-down in flight procedure as a precaution. We notified the engine shut down to ATC; at this point we where a [priority handling] aircraft; informed fuel and souls on board to ATC and planned on an overweight landing on Runway XX at ZZZ. We maintained a continuous descent with the running engine at a medium to high power setting to achieve a higher fuel burn and reduce landing mass while going through the normal checklist and a complete approach briefing with the over-weight landing consideration.Airport operations was requested to be on standby upon landing due to the imminent overweight landing condition. A single engine approach and landing was conducted (Landing weight 80;000 LBS / touch-down rate -300 FPM) and at time aircraft was on the ground and taxied under own power to the FBO; where maintenance had been advised of the condition and were waiting for us. The fire truck escorted us to parking and a normal shut down was executed. Brake temperatures were all within normal operating parameters. Aircraft was disembarked and handed over to maintenance.On board the aircraft were two pilots and two passengers. Landing weight was approximately 80;000 LBS with 31;800 LBS of fuel on board. Aircraft was on a general aviation (FAR part 91) flight.