Gravity and Signature Change

Abstract

The use of proper ``time'' to describe classical ``spacetimes'' which contain both Euclidean and Lorentzian regions permits the introduction of smooth (generalized) orthonormal frames. This remarkable fact permits one to describe both a variational treatment of Einstein's equations and distribution theory using straightforward generalizations of the standard treatments for constant signature.

Plain TeX, 6 pages; to appear in GRG

References in corpus (6)

• Failure of Standard Conservation Laws at a Classical Change of Signature
• Einstein's Equations in the Presence of Signature Change
• The Geometry of classical change of signature
• Actions for signature change
• Tensor Distributions in the Presence of Degenerate Metrics
• The Patchwork Divergence Theorem

Cited by in corpus (31)

• Avoiding singularities in Lorentzian-Euclidean black holes: the role of atemporality
• Causal structure of acoustic spacetimes
• Some implications of signature-change in cosmological models of loop quantum gravity
• Signature change events: A challenge for quantum gravity?
• Trans-Planckian physics and signature change events in Bose gas hydrodynamics
• Foundations of Finsler spacetimes from the Observers' Viewpoint
• Metrics with distributional curvature
• Fundamental units of length and time
• Variational equations on mixed Riemannian-Lorentzian metrics
• Transition to Zero Cosmological Constant and Phantom Dark Energy as Solutions Involving Change of Orientation of Space-Time Manifold
• General solutions of Einstein's spherically symmetric gravitational equations with junction conditions
• Note on Signature Change and Colombeau Theory
• Loop quantum gravity, signature change, and the no-boundary proposal
• When Is Holography Consistent?
• Classical Signature Change in the Black Hole Topology
• Configuration space for quantum gravity in a locally regularized path integral
• Riemann-Cartan gravity with dynamical signature
• Emergent spacetimes
• Magnetic solutions in Einstein-massive gravity with linear and nonlinear fields
• Piecewise Conserved Quantities
• On metric-connection compatibility and the signature change of space-time
• Isochronous Spacetimes
• Singularity at the demise of a black hole
• On A. D. Sakharov's hypothesis of cosmological transitions with changes in the signature of the metric
• Pseudo-timelike loops in signature changing semi-Riemannian manifolds with a transverse radical
• On one connection between Lorentzian and Euclidean metrics
• A Transformation Theorem for Transverse Signature-Type Changing Semi-Riemannian Manifolds
• Isochronous solutions of Einstein's equations and their Newtonian limit
• Constructing vacuum spacetimes by generating manifolds of revolution around a curve
• The emergent Big Bang scenario
• Black-hole models in loop quantum gravity