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We outline an alternative approach to the geometric notion of a saddle point for real-valued functions of two variables. It is argued that this is more natural compared to the usual treatment of this topic in standard texts on Calculus.

历史与综述 · 数学 2009-09-15 Sudhir R. Ghorpade , Balmohan V. Limaye

Motivated by recent developments in Hamiltonian variational principles, Hamiltonian variational integrators, and their applications such as to optimization and control, we present a new Type II variational approach for Hamiltonian systems,…

辛几何 · 数学 2025-04-10 Brian K. Tran , Melvin Leok

Exact solutions of traversable wormholes are found under the assumption of spherical symmetry and the existence of a {\it non-static} conformal symmetry, which presents a more systematic approach in searching for exact wormhole solutions.…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Christian G. Boehmer , Tiberiu Harko , Francisco S. N. Lobo

We analyze the worldline formalism in the presence of a gravitational background. In the worldline formalism a path integral is used to quantize the worldline coordinates of the particles. Contrary to the simpler cases of scalar and vector…

高能物理 - 理论 · 物理学 2010-04-05 Fiorenzo Bastianelli , Andrea Zirotti

We find a new on-shell replica wormhole in a computation of the generating functional of JT gravity coupled to matter. We show that this saddle has lower action than the disconnected one, and that it is stable under restriction to real…

高能物理 - 理论 · 物理学 2024-09-09 Venkatesa Chandrasekaran , Netta Engelhardt , Sebastian Fischetti , Sergio Hernández-Cuenca

We analyse the properties of Wilson loop observables for holographic gauge theories, when the dual bulk geometries have a single and/or multiple boundaries (Euclidean spacetime wormholes). Such observables lead to a generalisation and…

高能物理 - 理论 · 物理学 2024-03-01 Panos Betzios , Olga Papadoulaki

The purpose of this paper is to propose the implementation of some methods from algebraic geometry in the theory of gravitation, and more especially in the variational formalism. It has been assumed that the metric tensor depends on two…

广义相对论与量子宇宙学 · 物理学 2007-05-23 B. G. Dimitrov

I present an informal overview of several recent results about Euclidean saddle points sourced by axion fields in quantum gravity (AdS/CFT), such as wormholes, their extremal "D-instanton" limits and their under-extremal singular…

高能物理 - 理论 · 物理学 2020-04-22 Thomas Van Riet

In this short review we present some recently obtained traversable wormhole models in the framework of general relativity (GR) in four and six dimensions that somehow widen our common ideas on wormhole existence and properties. These are,…

广义相对论与量子宇宙学 · 物理学 2022-03-23 K. A. Bronnikov

Various spacetime candidates for traversable wormholes, regular black holes, and `black-bounces' are presented and thoroughly explored in the context of the gravitational theory of general relativity. All candidate spacetimes belong to the…

广义相对论与量子宇宙学 · 物理学 2021-04-30 Alex Simpson

Recent work on an approach to the geometrodynamics of cylindrical gravity waves in the presence of interacting scalar matter fields, based on the Kucha\v{r} hypertime formalism, is extended to the analogous spherically symmetric system.…

广义相对论与量子宇宙学 · 物理学 2010-11-01 Stephen P. Braham

Some novel regular spacetimes are considered that show a non-stationary wormhole structure. A Simpson-Visser-like procedure is applied to reconstruct these regular spacetimes, free of time-like and space-like singularities. Such a procedure…

广义相对论与量子宇宙学 · 物理学 2025-08-13 G. Alencar , R. Dárlla , Shin'ichi Nojiri , Sergei D. Odintsov , Diego Sáez-Chillón Gómez

When matching parts of a surface to its whole, a fundamental question arises: Which points should be included in the matching process? The issue is intensified when using isometry to measure similarity, as it requires the validation of…

计算机视觉与模式识别 · 计算机科学 2024-10-31 Amit Bracha , Thomas Dagès , Ron Kimmel

The causality properties of space-time models with traversable wormholes are considered. It is shown that relativity principle cannot be applied to the motion of the wormhole's mouths in the outer space and the dynamical wormhole…

广义相对论与量子宇宙学 · 物理学 2011-04-20 M. Yu. Konstantinov

In this paper a mathematically precise global (i.e. not the usual local) approach is presented to the variational principles of general relativistic classical field theories. Problems of the classic (usual) approaches are also discussed in…

广义相对论与量子宇宙学 · 物理学 2016-08-31 András László

A self--sustained traversable wormhole is obtained as a vacuum solution of a scale-dependent gravitational theory. Comparison with other approaches towards wormhole self--sustainability are presented, with emphasis on the running of the…

广义相对论与量子宇宙学 · 物理学 2019-04-01 Ernesto Contreras , Pedro Bargueño

We construct black hole saddles dual to real-time/Schwinger-Keldysh (SK) path integrals with arbitrary splits of the thermal density matrix generalizing the holographic SK prescription in \cite{Glorioso:2018mmw}. Using a scalar probe on the…

高能物理 - 理论 · 物理学 2024-10-25 Akhil Sivakumar

Motivated by the finiteness of de Sitter (dS) horizon entropy, we study how "bra-ket wormholes" modify correlation functions in gravitationally prepared states. Euclidean wormhole saddles in gravitational path integrals can generate…

广义相对论与量子宇宙学 · 物理学 2025-12-24 Sunghoon Jung , Minju Kum , Junghwan Lee

A comparison between the two possible variational principles for the study of a free falling spinless particle in a space-time with torsion is noted. It is well known that the autoparallel trajectories can be obtained from a variational…

广义相对论与量子宇宙学 · 物理学 2009-12-21 Rolando Gaitan D. , Juan Petit , Alfredo Mejía

We present a new class of solutions for static spherically symmetric wormhole spacetimes in conformal gravity and outline a detailed method for their construction. As an explicit example, we construct a class of traversable and…

广义相对论与量子宇宙学 · 物理学 2018-10-09 Manuel Hohmann , Christian Pfeifer , Martti Raidal , Hardi Veermäe