منابع مشابه
A Penrose-like inequality with charge
We establish a Penrose-like inequality for general (not necessarily timesymmetric) initial data sets of the Einstein–Maxwell equations, which satisfy the dominant energy condition. More precisely, it is shown that the ADM energy is bounded below by an expression which is proportional to the sum of the square root of the area of the outermost future (or past) apparent horizon and the square of t...
متن کاملThe Riemannian Penrose Inequality with Charge for Multiple Black Holes
We present the outline of a proof of the Riemannian Penrose inequality with charge r ≤ m + √ m2 − q2, where A = 4πr2 is the area of the outermost apparent horizon with possibly multiple connected components, m is the total ADM mass, and q the total charge of a strongly asymptotically flat initial data set for the Einstein-Maxwell equations, satisfying the charged dominant energy condition, with...
متن کاملA Penrose-Like Inequality for General Initial Data Sets
We establish a Penrose-Like Inequality for general (not necessarily time symmetric) initial data sets of the Einstein equations which satisfy the dominant energy condition. More precisely, it is shown that the ADM energy is bounded below by an expression which is proportional to the square root of the area of the outermost future (or past) apparent horizon.
متن کاملOn a Penrose Inequality with Charge Gilbert Weinstein and Sumio Yamada
We construct a time-symmetric asymptotically flat initial data set to the Einstein-Maxwell Equations which satisfies m− 1 2 ( R+ Q R ) < 0, where m is the total mass, R = √ A/4π is the area radius of the outermost horizon and Q is the total charge. This yields a counter-example to a natural extension of the Penrose Inequality for charged black holes.
متن کاملThe Penrose Inequality
In 1973, R. Penrose presented an argument that the total mass of a space-time which contains black holes with event horizons of total area A should be at least √ A/16π. An important special case of this physical statement translates into a very beautiful mathematical inequality in Riemannian geometry known as the Riemannian Penrose inequality. This inequality was first established by G. Huisken...
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ژورنال
عنوان ژورنال: General Relativity and Gravitation
سال: 2013
ISSN: 0001-7701,1572-9532
DOI: 10.1007/s10714-013-1588-8