A topological extension of general relativity

@article{Spaans1997ATE,
  title={A topological extension of general relativity},
  author={Marco Spaans},
  journal={Nuclear Physics},
  year={1997},
  volume={492},
  pages={526-542}
}
  • M. Spaans
  • Published 11 December 1996
  • Physics
  • Nuclear Physics
2 Citations
A topological extension of GR: Black holes induce dark energy
A topological extension of general relativity is presented. The superposition principle of quantum mechanics, as formulated by the Feynman path integral, is taken as a starting point. It is argued
Unfolding the Labyrinth: Open Problems in Mathematics, Physics, Astrophysics, and Other Areas of Science
Throughout this book, we discuss some open problems in various branches of science, including mathematics, theoretical physics, astro-physics, geophysics etc. It is of our hope that some of the

References

SHOWING 1-10 OF 24 REFERENCES
Quantum Theory of Gravity. I. The Canonical Theory
Following an historical introduction, the conventional canonical formulation of general relativity theory is presented. The canonical Lagrangian is expressed in terms of the extrinsic and intrinsic
Wave Function of the Universe
TLDR
A proposal for the wave function of the "ground state" or state of minimum excitation: the ground-state amplitude for a three-geometry is given by a path integral over all compact positive-definite four-geometries which have the three- geometries as a boundary.
Space-Time Approach to Non-Relativistic Quantum Mechanics
Non-relativistic quantum mechanics is formulated here in a different way. It is, however, mathematically equivalent to the familiar formulation. In quantum mechanics the probability of an event which
Inflationary universe: A possible solution to the horizon and flatness problems
The standard model of hot big-bang cosmology requires initial conditions which are problematic in two ways: (1) The early universe is assumed to be highly homogeneous, in spite of the fact that
Quantum Cosmology
IN cosmology a continuous fluid is used to represent the complex contents of the universe. Homogeneous and isotropic models then show that the universe originated from a space–time singularity of
Techniques and Applications of Path Integration
Partial table of contents: Probabilities and Probability Amplitudes for Paths. Correspondence Limit for the Path Integral (Heuristic). Vector Potentials and Another Proof of the Path Integral
New Hamiltonian formulation of general relativity.
  • Ashtekar
  • Mathematics
    Physical review. D, Particles and fields
  • 1987
TLDR
An important feature of the new form of constraints is the natural embedding of the constraint surface of the Einstein phase space into that of Yang-Mills phase space, which provides new tools to analyze a number of issues in both classical and quantum gravity.
Particle creation by black holes
AbstractIn the classical theory black holes can only absorb and not emit particles. However it is shown that quantum mechanical effects cause black holes to create and emit particles as if they were
Positive scalar curvature and the Dirac operator on complete riemannian manifolds
Operateurs de Dirac generalises sur une variete complete. Theoremes d'annulation. Estimations pour la dimension du noyau et du conoyau. Le theoreme d'indice relatif. Varietes hyperspheriques et
Introduction to superstrings
During this century, two great physical theories have emerged. Each theory remains unchallenged within its respective domain.
...
1
2
3
...