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Table 1.
Summary of the admissible asymptotic scaling behaviors resulting from Eq. (17) (top block) and Eq. (18) (bottom block).
| Analytic class | Literature | Comments | Number of | Free parameters | RμνρσRμνρσ |
|---|---|---|---|---|---|
| (s, t)r | (Stelle 1977; Lü et al. 2015a) | free parameters | |||
| ( − 2, 2)0 | Stelle-(2, 2) | Naked singularity | 6 | h0, f0, f1, f2, h3, f3 | ∝r−8 |
| ( − 1, −1)0 | Stelle-(1, −1) | Schwarzschild-like naked singularity | 4 | h0, f0, h3, f3 | ∝r−6 |
| (0, 0)0 | Stelle-(0, 0) | f0 = 1 non-singular | 3 | h0, h2, f2 | Finite |
| (0, 0)r0 | Lü-(0, 0)r0 | r0: generic | 6 |
 ,  ,  ,  ,  ,  |
Finite |
| (1, 1)r0 | Lü-(1, 1)r0 | r0: horizon | 4 | r0,  ,  ,  |
Finite |
| (1, 0)r0 | Lü-(1, 0)r0 | r0: wormhole throat | 3 | r0,  ,  |
Finite |
Notes. The lower three entries are limited to the subset of the solutions (19) relevant to our classification program. The results agree with earlier findings (Stelle 1978; Holdom 2002; Lü et al. 2015a).
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