Talk detail

Participant	Tsukamoto, Naoki
Institution	Rikkyo University - 4432 3-34-1 Nishi-Ikebukuro - Toshima-ku - Tokyo - Japan

Session	AT2	Accepted	Yes	Order	7	Time	20'
Talk	Oral abstract	Title	No rotating star solutions of a perfect fluid in projectable Horava-Lifshitz gravity
Co-authors	Tomohiro HARADA
Abstract	Horava-Lifshitz gravity has covariance only under the foliation-preserving diffeomorphism. This implies that the quantities on the constant-time hypersurfaces should be regular. In the original theory, the projectability condition which strongly restricts the lapse function is proposed. We assume that a star is filled with a perfect fluid. As a result, we find that there are no stationary axisymmetric star solutions in projectable Ho¡rava-Lifshitz gravity under the physically reasonable assumptions on the matter sector. This is a serious problem in the projectable versions of this theory from the view point of astrophysics. It seems that the invariance under the foliation-preserving diffeomorphism and the projectability condition are questionable since our result is derived from them.