462 research outputs found
Asymptotic flatness at null infinity in arbitrary dimensions
We define the asymptotic flatness and discuss asymptotic symmetry at null
infinity in arbitrary dimensions using the Bondi coordinates. To define the
asymptotic flatness, we solve the Einstein equations and look at the asymptotic
behavior of gravitational fields. Then we show the asymptotic symmetry and the
Bondi mass loss law with the well-defined definition.Comment: 12 pages, published version in PR
Quasi-Asimptotically Flat Spacetimes and Their ADM Mass
We define spacetimes that are asymptotically flat, except for a deficit solid
angle , and present a definition of their ``ADM'' mass, which is finite
for this class of spacetimes, and, in particular, coincides with the value of
the parameter of the global monopole spacetime studied by Vilenkin and
Barriola . Moreover, we show that the definition is coordinate independent, and
explain why it can, in some cases, be negative.Comment: Late
The Topology of Branching Universes
The purpose of this paper is to survey the possible topologies of branching
space-times, and, in particular, to refute the popular notion in the literature
that a branching space-time requires a non-Hausdorff topology
Formation of closed timelike curves in a composite vacuum/dust asymptotically-flat spacetime
We present a new asymptotically-flat time-machine model made solely of vacuum
and dust. The spacetime evolves from a regular spacelike initial hypersurface S
and subsequently develops closed timelike curves. The initial hypersurface S is
asymptotically flat and topologically trivial. The chronology violation occurs
in a compact manner; namely the first closed causal curves form at the boundary
of the future domain of dependence of a compact region in S (the core). This
central core is empty, and so is the external asymptotically flat region. The
intermediate region surrounding the core (the envelope) is made of dust with
positive energy density. This model trivially satisfies the weak, dominant, and
strong energy conditions. Furthermore it is governed by a well-defined system
of field equations which possesses a well-posed initial-value problem.Comment: 15 pages; accepted to Phys. Rev. D (no modifications
The Physics Inside Topological Quantum Field Theories
We show that the equations of motion defined over a specific field space are
realizable as operator conditions in the physical sector of a generalized Floer
theory defined over that field space. The ghosts associated with such a
construction are found not to be dynamical. This construction is applied to
gravity on a four dimensional manifold, ; whereupon, we obtain Einstein's
equations via surgery, along , in a five-dimensional topological quantum
field theory.Comment: LaTeX, 7 page
Radiative observables for linearized gravity on asymptotically flat spacetimes and their boundary induced states
We discuss the quantization of linearized gravity on globally hyperbolic,
asymptotically flat, vacuum spacetimes and the construction of distinguished
states which are both of Hadamard form and invariant under the action of all
bulk isometries. The procedure, we follow, consists of looking for a
realization of the observables of the theory as a sub-algebra of an auxiliary,
non-dynamical algebra constructed on future null infinity . The
applicability of this scheme is tantamount to proving that a solution of the
equations of motion for linearized gravity can be extended smoothly to .
This has been claimed to be possible provided that a suitable gauge fixing
condition, first written by Geroch and Xanthopoulos, is imposed. We review its
definition critically showing that there exists a previously unnoticed
obstruction in its implementation leading us to introducing the concept of
radiative observables. These constitute an algebra for which a Hadamard state
induced from null infinity and invariant under the action of all spacetime
isometries exists and it is explicitly constructed.Comment: 31 pages, added reference
On the Penrose inequality
The purpose of this letter is to point out an argument which may ultimately
lead to a rigorous proof of the Penrose inequality in the general case. The
argument is a variation of Geroch's original proposal for a proof of the
positive energy theorem which was later adapted by Jang and Wald to apply to
initial data sets containing apparent horizons. The new input is to dispense
with the a priori restriction to an initial data set and to use the
four-dimensional structure of spacetime in an essential way.Comment: LaTeX. 5 pages, uses RevTe
Rigid Singularity Theorem in Globally Hyperbolic Spacetimes
We show the rigid singularity theorem, that is, a globally hyperbolic
spacetime satisfying the strong energy condition and containing past trapped
sets, either is timelike geodesically incomplete or splits isometrically as
space time. This result is related to Yau's Lorentzian splitting
conjecture.Comment: 3 pages, uses revtex.sty, to appear in Physical Review
How to make a traversable wormhole from a Schwarzschild black hole
The theoretical construction of a traversable wormhole from a Schwarzschild
black hole is described, using analytic solutions in Einstein gravity. The
matter model is pure phantom radiation (pure radiation with negative energy
density) and the idealization of impulsive radiation is employed.Comment: 4 pages, 4 figure
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