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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

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4 results for “Einstein-Hilbert-Palatini”

The Einstein-Hilbert-Palatini formalism in Pseudo-Finsler Geometrymath.DG

Develops Palatini formalism for pseudo-Finsler metrics, recovering classical results.

problem Developing a formalism for pseudo-Finsler metrics of any signature.

method Substituting scalar curvature with Finslerian Ricci scalar in Einstein-Hilbert-Palatini functional.

result Recovery of classical results in Lorentzian signature with vanishing mean Landsberg tensor.

pseudo-Finsler geometry Palatini formalism Einstein-Hilbert-Palatini Finslerian Ricci scalar Lorentzian signature

2021-08-06abs ↗pdf ↗

Topological and Geometric Obstructions on Einstein-Hilbert-Palatini Theoriesmath-ph

In this article we introduce $A$ -valued Einstein-Hilbert-Palatini functional ( $A$ -EHP) over a n-manifold $M$ , where $A$ is an arbitrary graded algebra, as a generalization of the functional arising in the study of the first order formulation of gravity. We show that if $A$ is weak $(k,s)$ -solvable, then $A$ -EHP is non-…

2018-08-28abs ↗pdf ↗

Palatini Variation in Generalized Geometry and String Effective Actionshep-th

Develops Palatini formalism in generalized geometry for string theory.

problem Formulating Palatini variation in generalized geometry.

method Palatini formalism within generalized Riemannian geometry of Courant algebroids.

result Natural emergence of generalized Levi-Civita connection and string effective actions.

Palatini variation generalized geometry Courant algebroids string theory Levi-Civita connection

2022-11-16abs ↗pdf ↗

Geometric Obstructions on Gravitymath-ph

Geometric obstructions prevent gravity in high dimensions.

problem Obstacles to realizing gravity in various geometries.

method Analyzing the tetradic Einstein-Hilbert-Palatini action in different geometric settings.

result Gravity is only meaningful in Lorentzian geometry for dimensions

n \geq 4

gravity tetradic action geometric obstructions Lorentzian geometry cosmological constant

2019-12-24abs ↗pdf ↗