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- W4387560159 abstract "The vacuum Robinson-Trautman solution admits a shear-free and twist-free null geodesic congruence. We perform a comprehensive classification of solutions exhibiting this property in Einstein's gravity with a massless scalar field. We find that these solutions can be grouped into three distinct classes: (I-a) a natural extension of the Robinson-Trautman family incorporating a scalar hair satisfying the time derivative of the Ricci flow equation, (I-b) a novel non-asymptotically flat solution characterized by two functions satisfying Perelman's pair of the Ricci flow equations, and (II) a dynamical solution possessing ${rm SO}(3)$, ${rm ISO}(2)$ or ${rm SO}(1,2)$ symmetry. We provide a complete list of all explicit solutions falling into Petrov type D for classes (I-a) and (I-b). Moreover, leveraging the massless solution in class (I-a), we derive the neutral Robinson-Trautman solution to the ${cal N}=2$ gauged supergravity with the prepotential $F(X) =-iX^0X^1$. By flipping the sign of the kinetic term of the scalar field, the Petrov-D class (I-a) solution leads to a time-dependent wormhole with an instantaneous spacetime singularity. Although the general solution is unavailable for class (II), we find a new dynamical solution with spherical symmetry from the AdS-Roberts solution via AdS/Ricci-flat correspondence." @default.
- W4387560159 created "2023-10-12" @default.
- W4387560159 creator A5036277550 @default.
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- W4387560159 date "2023-10-09" @default.
- W4387560159 modified "2023-10-18" @default.
- W4387560159 title "Robinson-Trautman solutions with scalar hair and Ricci flow" @default.
- W4387560159 doi "https://doi.org/10.48550/arxiv.2310.05460" @default.
- W4387560159 hasPublicationYear "2023" @default.
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