Fetching the paper…
Reading the bibliography…
For asymptotically flat spacetimes, using the inverse mean curvature flow, we show that any compact $2$-surface, $S_0$, whose mean curvature and its derivative for outward direction are positive in spacelike hypersurface with non-negative Ricci scalar satisfies the inequality $A_0 \leq 4 \pi (3Gm)^2$, where $A_0$ is the area of $S_0$ and $m$ is the total mass.
For example, J. L. Snyge, Mon. Not. Roy. Soc. 131
1966
Earlier work this paper cites.
R. Penrose, Annals N. Y. Acad. Sci. 224
1973
Earlier work this paper cites.
R. Geroch, Ann. N.Y. Acad. Sci. 224
1973
Earlier work this paper cites.
P. S. Jang and R. M. Wald, J. Math. Phys. 18
1977
Earlier work this paper cites.
R. Schoen and S. T. Yau, Commun. Math. Phys. 90
1983
Cited alongside, same era.
K. S. Virbhadra and G. F. R. Ellis, Phys. Rev. D 62
2000
Cited alongside, same era.
H. Bray, J. Diff. Geom. 59
2001
Cited alongside, same era.
G. Huisken and T. Ilmanen, J. Diff. Geom. 59
2001
Later among the works it cites.
C. M. Claudel, K. S. Virbhadra and G. F. R. Ellis, J. Math. Phys. 42
2001
Later among the works it cites.
V. Cardoso, E. Franzin and P. Pani, Phys. Rev. Lett. 116
2016
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…