Abstract: |
We study gravitational collapse of a spherical body made of anisotropic fluid in the Horava-Lifshitz gravity. The junction conditions across the surface of a collapsing star are derived under the (minimal) assumption that the junctions be mathematically meaningful in terms of generalized functions. When the collapsing star is made of a homogeneous and isotropic perfect fluid, and the external region is described by a stationary spacetime, the problem reduces to the matching of six independent conditions. In addition, if the perfect fluid is pressureless (a dust fluid), it is found that such matching is possible only in some particular cases, in which the external spacetime is described by the Schwarzschild (anti-) de Sitter solution. |