Journal ArticleDOI
Energy conditions and stability in general relativity
Reads0
Chats0
TLDR
In this paper, the dominant energy condition in general relativity theory is examined in connection with the types of energy-momentum tensors it permits, and the condition that the energy momentum tensor be "stable" in obeying it is defined in terms of a suitable topology.Abstract:
The dominant energy condition in general relativity theory, which says that every observer measures a nonnegative local energy density and a nonspacelike local energy flow, is examined in connection with the types of energy-momentum tensor it permits. The condition that the energy-momentum tensor be “stable” in obeying the dominant energy condition is then defined in terms of a suitable topology on the set of energy-momentum tensors on space-time and the consequences are evaluated and discussed.read more
Citations
More filters
Journal ArticleDOI
A new class of interior solutions for a stress-energy tensor of Segré characteristic [111,1].
T. Biech,Anadijiban Das +1 more
TL;DR: In this paper, the interior solutions of the tetrad versions of the field equations with TAB having Segre characteristic (which has all four eigenvalues distinct) are investigated, and a mixed method, which combines Synge'sg method and T method, is introduced.
Journal ArticleDOI
The vacuum conservation theorem
TL;DR: In this article, a stable version of the vacuum conservation theorem is proved for compact Cauchy horizons, which does not assume the existence of a time function nor demands stronger properties than the dominant energy condition.
Dissertation
On exact shearing solutions of the nonstatic spherically symmetric einstein field equations
TL;DR: In this article, the authors have sought solutions of the nonstatic spherically symmetric field equations which exhibit non-zero shear and satisfy various weak energy conditions for a perfect fluid stress energy tensor.
Journal ArticleDOI
Vacuum type N space-times admitting homothetic vector fields with isolated fixed points
J. da Costa,Estelita Vaz +1 more
TL;DR: In this article, the authors consider vacuum space-times (M, g) of Petrov type N on an open dense subset of M, and prove that if the homothetic bivector remains simple-timelike in some neighbourhood of the fixed point, then, around the fixed points, the space-time in question is a pp-wave.
Journal ArticleDOI
The vacuum conservation theorem
TL;DR: In this paper, a stable version of the vacuum conservation theorem is proved for compact Cauchy horizons, which does not assume the existence of a time function nor demands stronger properties than the dominant energy condition.
References
More filters
Book
The Large Scale Structure of Space-Time
TL;DR: In this paper, the authors discuss the General Theory of Relativity in the large and discuss the significance of space-time curvature and the global properties of a number of exact solutions of Einstein's field equations.
Large scale structure of space--time
TL;DR: The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions.
Journal ArticleDOI
The classification of the Ricci tensor in general relativity theory
TL;DR: Tangent space null rotations are used to give a straightforward classification of the Ricci tensor in general relativity theory as discussed by the authors, and they are used for the classification of Ricci Tensor.