Yes, a collision between two neutron stars can indeed result in significant gravitational time dilation from the perspective of an outside observer.
According to Einstein's theory of general relativity, the presence of massive objects like neutron stars can cause a curvature of spacetime around them. This curvature affects the flow of time, causing it to slow down or speed up depending on the strength of the gravitational field.
When two neutron stars merge or collide, they generate an extremely intense gravitational field in their vicinity. This intense gravitational field can cause a significant time dilation effect. As the neutron stars approach each other, the gravitational attraction between them becomes stronger, leading to a more pronounced time dilation.
From the perspective of an outside observer, who is far away from the collision event, the gravitational time dilation would cause time to appear to slow down for the merging neutron stars. This means that the clocks on the neutron stars would appear to run slower compared to the observer's clock. As the neutron stars get closer and eventually collide, the time dilation effect would become even more pronounced.
It's important to note that the exact amount of time dilation would depend on various factors, including the masses and speeds of the neutron stars, as well as the distance between the observer and the collision event. The precise calculations of such effects require advanced mathematical models and simulations based on general relativity. Nonetheless, it is reasonable to expect significant time dilation in the scenario of a neutron star collision.