Results 91 to 100 of about 156,624 (168)

Problematic aspects of Kaluza–Klein excitations in multidimensional models with Einstein internal spaces

Physics Letters B, 2014
We consider Kaluza–Klein (KK) models where internal spaces are compact Einstein spaces. These spaces are stabilized by background matter (e.g., monopole form-fields).
Alexey Chopovsky, Maxim Eingorn, Alexander Zhuk   +2 more
doaj   +1 more source

Internal symmetries in Kaluza-Klein models

Journal of High Energy Physics
The usual approach to Kaluza-Klein considers a spacetime of the form M 4 × K and identifies the isometry group of g K 0 $$ {g}_K^0 $$ , the internal vacuum metric, with the gauge group in four dimensions.
João Baptista
doaj   +1 more source

Families of conic Kähler–Einstein metrics [PDF]

Mathematische Annalen, 2018
Let $p:X\to Y$ be an holomorphic surjective map between compact K hler manifolds and let $D$ be an effective divisor on $X$ with generically simple normal crossings support and coefficients in $(0,1)$. Provided that the adjoint canonical bundle $K_{X_y}+D_y$ of the generic fiber is ample, we show that the current obtained by glueing the fiberwise ...
openaire   +3 more sources

THE EXISTENCE THEOREM FOR THE GENERAL RELATIVISTIC CAUCHY PROBLEM ON THE LIGHT-CONE

Forum of Mathematics, Sigma, 2014
We prove existence of solutions of the vacuum Einstein equations with initial data induced by a smooth metric on a light-cone.
PIOTR T. CHRUŚCIEL
doaj   +1 more source

K‐Stability and Kähler‐Einstein Metrics [PDF]

Communications on Pure and Applied Mathematics, 2015
We prove that if a Fano manifold M is K‐stable, then it admits a Kähler‐Einstein metric. It affirms a longstanding conjecture for Fano manifolds. © 2015 Wiley Periodicals, Inc.
openaire   +2 more sources

Ricci-flat and Einstein pseudoriemannian nilmanifolds

Complex Manifolds, 2019
This is partly an expository paper, where the authors’ work on pseudoriemannian Einstein metrics on nilpotent Lie groups is reviewed. A new criterion is given for the existence of a diagonal Einstein metric on a nice nilpotent Lie group.
Conti Diego, Rossi Federico A.
doaj   +1 more source

Kähler–Einstein metrics on group compactifications [PDF]

Geometric and Functional Analysis, 2017
We obtain a necessary and sufficient condition of existence of a K{ }hler-Einstein metric on a $G\times G$-equivariant Fano compactification of a complex connected reductive group $G$ in terms of the associated polytope. This condition is not equivalent to the vanishing of the Futaki invariant.
openaire   +4 more sources

The importance of GR’s principle of equivalence for kinematically determined Friedmann–Lemaître–Robertson–Walker universes

Frontiers in Astronomy and Space Sciences
The Einstein equations and the Friedmann–Lemaître–Robertson–Walker (FLRW) metric are the foundation of modern cosmology. Whereas the geometric interpretation of the Einstein equations describes the action of gravity as the curvature of space by matter ...
Horst Foidl, Horst Foidl, Tanja Rindler-Daller, Tanja Rindler-Daller, Tanja Rindler-Daller   +4 more
doaj   +1 more source

Bubbling of Kähler-Einstein metrics

, 2023
This is an article written for the memorial volume for Professor Jean-Pierre ...
openaire   +3 more sources

Dark energy and the spinning superparticle

Journal of High Energy Physics
We revisit the theory of background fields constructed on the BRST-algebra of a spinning particle with N $$ \mathcal{N} $$ = 4 worldline supersymmetry, whose spectrum contains the graviton but no other fields.
Daniel Bockisch, Ivo Sachs
doaj   +1 more source