SHARP BOUNDS ON 2m/r FOR STATIC SPHERICAL OBJECTS
نویسندگان
چکیده
Sharp bounds are obtained, under a variety of assumptions on the eigenvalues of the Einstein tensor, for the ratio of the Hawking mass to the areal radius in static, spherically symmetric space-times.
منابع مشابه
Sharp Bounds on 2m/r of General Spherically Symmetric Static Objects
In 1959 Buchdahl [13] obtained the inequality 2M/R ≤ 8/9 under the assumptions that the energy density is non-increasing outwards and that the pressure is isotropic. Here M is the ADM mass and R the area radius of the boundary of the static body. The assumptions used to derive the Buchdahl inequality are very restrictive and eg. neither of them hold in a simple soap bubble. In this work we remo...
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