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Table 3.
Mapping numeric solution classes to analytic classes.
| Solution class | Analytic class | Color in Fig. 3 | Defining characteristic |
|---|---|---|---|
| Type S | (1, 1)r0 | Purple | Schwarzschild geometry (unique) |
| Type Ia | ( − 2, 2)0 | Pink | Naked singularity, no stable photon orbit below r = 2M |
| Type Ib | ( − 2, 2)0 | Red | Naked singularity, stable photon orbit below r = 2M |
| Type Ic | ( − 2, 2)0 | Orange | Naked singularity, partially screened by a reflective barrier |
| Type II | ( − 1, −1)0 | Yellow | Naked singularity, fully screened by a reflective barrier |
| Type III | (1, 0)r0 | Black | Wormhole throat at finite rterm > 2M |
| None | None | White | Inconclusive initial conditions due to numerical instability |
Notes. Characteristic properties of the asymptotically flat vacuum solutions in quadratic gravity are presented, see Fig. 3.
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