Hideki Maeda

Lovelock black holes with a nonlinear Maxwell field

We derive electrically charged black hole solutions of the Einstein-Gauss-Bonnet equations with a nonlinear electrodynamics source in n(≥ 5) dimensions. The spacetimes are given as a warped product M 2 × K n-2 , where K n-2 is a (n - 2)-dimensional constant curvature space. We establish a generalized Birkhoffs theorem by showing that it is the unique electrically charged solution with this isometry and for which the orbit of the warp factor on K n-2 is non-null. An extension of the analysis for full Lovelock gravity is also achieved with a particular attention to the Chern-Simons case.

Generalized Misner-Sharp quasi-local mass in Einstein-Gauss-Bonnet gravity

We investigate properties of a quasi-local mass in a higher-dimensional spacetime having symmetries corresponding to the isomertries of an

Spacetime structure of static solutions in Gauss-Bonnet gravity: Neutral case

(n-2)

Final fate of spherically symmetric gravitational collapse of a dust cloud in Einstein-Gauss-Bonnet gravity

-dimensional maximally symmetric space in Einstein-Gauss-Bonnet gravity in the presence of a cosmological constant. We assume that the Gauss-Bonnet coupling constant is non-negative. The quasi-local mass was recently defined by one of the authors as a counterpart of the Misner-Sharp quasi-local mass in general relativity. The quasi-local mass is found to be a quasi-local conserved charge associated with a locally conserved current constructed from the generalized Kodama vector and exhibits the unified first law corresponding to the energy-balance law. In the asymptotically flat case, it converges to the Arnowitt-Deser-Misner mass at spacelike infinity, while it does to the Deser-Tekin and Padilla mass at infinity in the case of asymptotically AdS. Under the dominant energy condition, we show the monotonicity of the quasi-local mass for any

Convergence to a selfsimilar solution in general relativistic gravitational collapse

k

Lovelock black holes with maximally symmetric horizons

, while the positivity on an untrapped hypersurface with a regular center is shown for

Matter without matter: Kaluza-Klein spacetime in Einstein-Gauss-Bonnet gravity

k=1

Static and symmetric wormholes respecting energy conditions in Einstein-Gauss-Bonnet gravity

and for

Kaluza-Klein black hole with negatively curved extra dimensions in string-generated gravity models

k=0

Effects of Gauss-Bonnet term on the final fate of gravitational collapse

with an additional condition, where