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Related papers: Geometric aspects of covariant Wick rotation

200 papers

M/string theory on noncompact, negatively curved, cosets which generalize $AdS_{D+1}=SO(D,2)/SO(D,1)$ is considered. Holographic descriptions in terms of a conformal field theory on the boundary of the spacetime are proposed. Examples…

High Energy Physics - Theory · Physics 2009-10-31 Ruth Britto-Pacumio , Andrew Strominger , Anastasia Volovich

We present a unified Lorentzian replica-path-integral framework for computing entanglement entropy in fully time-dependent quantum field theories and gravitational systems. Building on this framework, we apply the real-time replica trick to…

High Energy Physics - Theory · Physics 2026-01-21 Anastasios Irakleous

Wave maps (or Lorentzian-harmonic maps) from a $1+1$-dimensional Lorentz space into the $2$-sphere are associated to constant negative Gaussian curvature surfaces in Euclidean 3-space via the Gauss map, which is harmonic with respect to the…

Differential Geometry · Mathematics 2020-02-03 David Brander , Farid Tari

We develop a model of spatially flat, homogeneous and isotropic cosmology in Lorentzian Regge calculus, employing 4-dimensional Lorentzian frusta as building blocks. By examining the causal structure of the discrete spacetimes obtained by…

General Relativity and Quantum Cosmology · Physics 2024-04-23 Alexander F. Jercher , Sebastian Steinhaus

We demonstrate that the emergence of a curved spacetime ``effective Lorentzian geometry'' is a common and generic result of linearizing a field theory around some non-trivial background. This investigation is motivated by considering the…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Carlos Barcelo , Stefano Liberati , Matt Visser

Caianiello's derivation of Quantum Geometry through an isometric embedding of the spacetime ({\bf M},\tilde{g}) in the pseudo-Riemannian structure ({\bf T^*M},g^*_{AB}) is reconsidered. In the new derivation, a non-linear connection and the…

General Relativity and Quantum Cosmology · Physics 2020-12-01 Ricardo Gallego Torrome

We construct a self-consistent relativistic Newtonian analogue corresponding to gravitational static spherical symmetric spacetime geometries, staring directly from a generalized scalar relativistic gravitational action in Newtonian…

General Relativity and Quantum Cosmology · Physics 2017-01-25 Shubhrangshu Ghosh , Tamal Sarkar , Arunava Bhadra

We prove a transverse diameter theorem in the context of Lorentzian foliations, which can be interpreted as a Hawking--Penrose-type singularity theorem for timelike geodesics transverse to the foliation. In order to develop the necessary…

Differential Geometry · Mathematics 2024-02-09 Francisco C. Caramello , Henrique A. Puel Martins , Ivan P. Costa e Silva

In the framework of Galilei classical mechanics (i.e., general relativistic classical mechanics on a spacetime with absolute time) developed by Jadczyk and Modugno, we analyse systematically the relations between symmetries of the geometric…

Mathematical Physics · Physics 2015-06-26 D. Saller , R. Vitolo

There were many attempts to geometrize electromagnetic field and find out new interpretation for quantum mechanics formalism. The distinctive feature of this work is that it combines geometrization of electromagnetic field and…

High Energy Physics - Theory · Physics 2009-11-11 O. A. Ol'khov

Newtonian gravity arises as the nonrelativistic, static, weak-field limit of some Lorentzian spacetime geometry solving the generally covariant Einstein equations for a given matter field configuration. Spacetime geometry has a local…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Martin Rainer

Recently, we introduced the Lorentzian-Euclidean black hole, a static and spherically symmetric solution of vacuum Einstein equations that exhibits a change in metric signature across the event horizon. In this framework, the analysis of…

General Relativity and Quantum Cosmology · Physics 2025-07-14 Salvatore Capozziello , Emmanuele Battista , Silvia De Bianchi

Three-dimensional Lorentzian quantum gravity, expressed as the continuum limit of a nonperturbative sum over spacetimes, is tantalizingly close to being amenable to analytical methods, and some of its properties have been described in terms…

High Energy Physics - Theory · Physics 2023-02-01 J. Brunekreef , R. Loll

A simple covariant model is presented where the signature of the metric is a dynamical field. Degenerate minima of a curvature-minimizing potential correspond to Euclidean, Lorentzian or mixed phases of geometry. The Lorentzian phase…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Miguel Bermudez

Area metrics are an intriguing generalization of length metrics which appears in several quantum-gravity approaches. We describe the space of diffeomorphism-invariant area-metric actions quadratic in fluctuations and derivatives. A general…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Johanna N. Borissova , Bianca Dittrich , Kirill Krasnov

A Wick rotation in the lapse (not in time) is introduced that interpolates between Riemannian and Lorentzian metrics on real manifolds admitting a codimension-one foliation. The definition refers to a fiducial foliation but covariance under…

Mathematical Physics · Physics 2025-04-11 Rudrajit Banerjee , Max Niedermaier

Spherically symmetric models of loop quantum gravity have been studied recently by different methods that aim to deal with structure functions in the usual constraint algebra of gravitational systems. As noticed by Gambini and Pullin, a…

General Relativity and Quantum Cosmology · Physics 2015-09-09 Martin Bojowald , Suddhasattwa Brahma , Juan D. Reyes

Stokes' theorem turns Abelian Berry phases into curvature fluxes, whereas path ordering precludes such a simple formula for non-Abelian holonomies. We show that a quantitative form of this intuition survives: arbitrary Wilczek--Zee…

Quantum Physics · Physics 2026-05-28 François Impens , David Guéry-Odelin

We study the Lorentzian metric independent of the time variable in the cylinder $\mathbb{R}\times\Omega$ where $x_0\in\mathbb{R}$ is the time variable and $\Omega$ is a bounded smooth domain in $\mathbb{R}^n$. We consider forward…

Analysis of PDEs · Mathematics 2024-11-14 Gregory Eskin

We continue a previous analysis of the covariant Hamiltonian symplectic structure of General Relativity for spatially bounded regions of spacetime. To allow for near complete generality, the Hamiltonian is formulated using any fixed…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Stephen C. Anco , Roh S. Tung
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