Flatly Foliated Relativity

@article{Bray2019FlatlyFR,
  title={Flatly Foliated Relativity},
  author={H. Bray and B. Hamm and Sven Hirsch and J. Wheeler and Yiyue Zhang},
  journal={arXiv: General Relativity and Quantum Cosmology},
  year={2019}
}
Flatly Foliated Relativity (FFR) is a new theory which conceptually lies between Special Relativity (SR) and General Relativity (GR), in which spacetime is foliated by flat Euclidean spaces. While GR is based on the idea that "matter curves spacetime", FFR is based on the idea that "matter curves spacetime, but not space". This idea, inspired by the observed spatial flatness of our local universe, is realized by considering the same action as used in GR, but restricting it only to metrics which… Expand

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References

SHOWING 1-10 OF 13 REFERENCES
PROOF OF THE RIEMANNIAN PENROSE INEQUALITY USING THE POSITIVE MASS THEOREM
We prove the Riemannian Penrose Conjecture, an important case of a con- jecture (41) made by Roger Penrose in 1973, by defining a new flow of metrics. This flow of metrics stays inside the class ofExpand
On the Asymptotics for the Vacuum Einstein Constraint Equations
In this paper we prove density of asymptotically flat solutions with special asymptotics in general classes of solutions of the vacuum constraint equations. The first type of special asymptotic formExpand
On the proof of the positive mass conjecture in general relativity
LetM be a space-time whose local mass density is non-negative everywhere. Then we prove that the total mass ofM as viewed from spatial infinity (the ADM mass) must be positive unlessM is the flatExpand
On Dark Matter, Spiral Galaxies, and the Axioms of General Relativity
Beginning with a geometric motivation for dark matter going back to the axioms of general relativity, we show how scalar field dark matter, which naturally forms dark matter density waves due to itsExpand
The inverse mean curvature flow and the Riemannian Penrose Inequality
Let M be an asymptotically flat 3-manifold of nonnegative scalar curvature. The Riemannian Penrose Inequality states that the area of an outermost minimal surface N in M is bounded by the ADM mass mExpand
Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
We present spectral and photometric observations of 10 Type Ia supernovae (SNe Ia) in the redshift range 0.16 " z " 0.62. The luminosity distances of these objects are determined by methods thatExpand
Semi-Riemannian Geometry With Applications to Relativity
Manifold Theory. Tensors. Semi-Riemannian Manifolds. Semi-Riemannian Submanifolds. Riemannian and Lorenz Geometry. Special Relativity. Constructions. Symmetry and Constant Curvature. Isometries.Expand
A new proof of the positive energy theorem
A new proof is given of the positive energy theorem of classical general relativity. Also, a new proof is given that there are no asymptotically Euclidean gravitational instantons. (These theoremsExpand
Measurements of $\Omega$ and $\Lambda$ from 42 high redshift supernovae
We report measurements of the mass density, Omega_M, and cosmological-constant energy density, Omega_Lambda, of the universe based on the analysis of 42 Type Ia supernovae discovered by the SupernovaExpand
Observation of Gravitational Waves from a Binary Black Hole Merger
On September 14, 2015 at 09:50:45 UTC the two detectors of the Laser Interferometer Gravitational-Wave Observatory simultaneously observed a transient gravitational-wave signal. The signal sweepsExpand
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