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We present numerical solutions of the hyperboloidal initial value problem fora self-gravitating scalar field in spherical symmetry, using a variety ofstandard hyperbolic slicing and shift conditions that we adapt to ourhyperboloidal setup. We work in the framework of conformal compactification,and study both evolutions that employ the preferred conformal gauge, whichsimplifies the formal singularities of our equations at null infinity, andevolutions without this simplification. In previous work we have used astaggered grid, which excludes null infinity, while now we include the optionof placing a gridpoint directly at null infinity. We use both the generalizedBSSN and conformal Z4 formulations of the Einstein equations, study the effectof different gauge conditions, and show that robust evolutions are possible fora range of choices.

Spherical symmetry as a test case for unconstrained hyperboloidal evolution II: gauge conditions