A stable anisotropic inflationary solution exists in the Saez-Ballester theory, but it is equivalent to the known Kanno-Soda-Watanabe solution and has a too-large tensor-to-scalar ratio.
Anisotropic constant-roll inflation for the Dirac-Born-Infeld model
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In this paper, we study a non-canonical extension of a supergravity-motivated model acting as a vivid counterexample to the cosmic no-hair conjecture due to its unusual coupling between scalar and electromagnetic fields. In particular, a canonical scalar field is replaced by the string-inspired Dirac-Born-Infeld one in this extension. As a result, exact anisotropic inflationary solutions for this Dirac-Born-Infeld model are figured out under a constant-roll condition. Furthermore, numerical calculations are performed to verify that these anisotropic constant-roll solutions are indeed attractive during their inflationary phase.
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Anisotropic power-law inflation for the S\'aez-Ballester theory non-minimally coupled to a vector field
A stable anisotropic inflationary solution exists in the Saez-Ballester theory, but it is equivalent to the known Kanno-Soda-Watanabe solution and has a too-large tensor-to-scalar ratio.