Add to ORKGIn this work, the problem of constructing geometric flow equations that preserve Einstein field equations for the spacetime metric is addressed. After having briefly discussed the main features of Ricci flow, the on-shell flow equations for a system comprised of a dynamical metric and a set of matter fields are constructed. Then, two examples in which the matter content is just a single, self-interacting scalar field are analysed in detail, imposing the geometric flow equations to be the action-induced ones. In conclusion, an explicit connection to the Swampland Distance Conjecture is proposed.Comment: 72 pages, 18 figure
The dynamical evolution of the Hajicek $1$-form is derived in Einstein-Cartan (EC) theory. We find t...
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We show that Hamilton's Ricci flow and the static Einstein vacuum equations are closely connected by...
In Riemannian geometry, the Ricci flow is the analogue of heat diffusion; a deformation of the metri...
A framework of quantum spacetime reference frame is proposed and reviewed, in which the quantum spac...
In 1982, Richard S. Hamilton formulated Ricci flow along manifolds of three dimensions of positive R...
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Ricci flow is a powerful technique using a heat-type equation to deform Riemannian metrics on manifo...
We consider the synchronization of the Einstein’s flow with the Ricci-flow of the standard spatial s...
Generalized differential forms are used in discussions of metric geometries and Einstein's vacuum fi...
We review the main aspects of Ricci flows as they arise in physics and mathematics. In field theory ...
The dynamical evolution of the Hajicek $1$-form is derived in Einstein-Cartan (EC) theory. We find t...
Ricci curvature plays an important role in understanding the relationship between the geom-etry and ...
The prime object of this article is to study the perfect fluid spacetimes obeying $f(\mathcal{R})$-g...
International audienceIn the first part of this paper we will work out a close and so far not yet no...
We extend to a theory of nonassociative geometric flows a string-inspired model of nonassociative gr...
We show that Hamilton's Ricci flow and the static Einstein vacuum equations are closely connected by...
In Riemannian geometry, the Ricci flow is the analogue of heat diffusion; a deformation of the metri...
A framework of quantum spacetime reference frame is proposed and reviewed, in which the quantum spac...
In 1982, Richard S. Hamilton formulated Ricci flow along manifolds of three dimensions of positive R...
The target space of the non-linear $\sigma$-model is a riemannian manifold. Although it can be any r...
Gradient flow in a potential energy (or Euclidean action) landscape provides a natural set of paths ...
Ricci flow is a powerful technique using a heat-type equation to deform Riemannian metrics on manifo...
We consider the synchronization of the Einstein’s flow with the Ricci-flow of the standard spatial s...
Generalized differential forms are used in discussions of metric geometries and Einstein's vacuum fi...
We review the main aspects of Ricci flows as they arise in physics and mathematics. In field theory ...
The dynamical evolution of the Hajicek $1$-form is derived in Einstein-Cartan (EC) theory. We find t...
Ricci curvature plays an important role in understanding the relationship between the geom-etry and ...
The prime object of this article is to study the perfect fluid spacetimes obeying $f(\mathcal{R})$-g...