Empty space is hostile. At a large fraction of light speed, a single grain of dust hits with the punch of artillery, and even stray atoms carry enough kinetic energy to erode metal like sandblasting on fast forward.
The harsh truth is that no single trick saves such a ship; survival is a stack of physics hacks. Front line, engineers would bet on a sacrificial Whipple shield, a thin bumper that turns incoming grains into a hot plasma spray, spreading the impact over distance and time instead of letting one compact projectile drill straight through a pressure hull.
More radical is the idea that the ship should never meet neutral matter head-on at all. A powerful forward magnetic field, coupled with an ionizing laser curtain, could strip electrons from incoming atoms so the debris arrives as charged plasma; Lorentz forces then bend that plasma around the vehicle, a kind of electromagnetic bow wave built from Maxwell’s equations and magnetohydrodynamics rather than from steel.
Thermal reality still bites. All that redirected energy must go somewhere, so the nose would likely be a dense, actively cooled slab of high-melting-point material, with heat pipes and radiators shunting gigawatts of waste heat away before it melts. Behind it, the crew and instruments would sit in a shadow zone, buried deep inside the hull, trusting that the combination of staged ablative layers, active magnetic shielding and brutal power-hungry cooling buys just enough safety at relativistic speed.