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gr-qc2002★ 1 cited
On the Penrose Inequality
Edward Malec, Marc Mars, Walter Simon
We summarize results on the Penrose inequality bounding the ADM-mass or the Bondi mass in terms of the area of an outermost apparent horizon for asymptotically flat initial data of…
gr-qc2002
Criteria for (in)finite extent of static perfect fluids
Walter Simon
In Newton's and in Einstein's theory we give criteria on the equation of state of a barotropic perfect fluid which guarantee that the corresponding one-parameter family of static,…
gr-qc2000
Conformal positive mass theorems
Walter Simon
We show the following two extensions of the standard positive mass theorem (one for either sign): Let (N,g) and (N,g') be asymptotically flat Riemannian 3-manifolds with compact in…