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Sub-Lorentzian Geometry of Curves and Surfaces in a Lorentzian Lie Group

Advances in Mathematical Physics, 2022
We consider the sub-Lorentzian geometry of curves and surfaces in the Lie group E1,1. Firstly, as an application of Riemannian approximants scheme, we give the definition of Lorentzian approximants scheme for E1,1 which is a sequence of Lorentzian ...
Haiming Liu, Jianyun Guan
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Black holes in Klein space

Journal of High Energy Physics, 2022
The analytic continuation of the general signature (1, 3) Lorentzian Kerr-Taub-NUT black holes to signature (2, 2) Kleinian black holes is studied.
Erin Crawley, Alfredo Guevara, Noah Miller, Andrew Strominger   +3 more
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Chen’s Ricci inequalities and topological obstructions on null hypersurfaces of a Lorentzian manifold

Journal of Inequalities and Applications, 2018
Given a null hypersurface of a Lorentzian manifold, we isometrically immerse a null hypersurface equipped with the Riemannian metric (induced on it by the rigging) into a Riemannian manifold suitably constructed on the Lorentzian manifold.
Karimumuryango Ménédore
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Pseudo-Slant submaniolds of nearly δ- Lorentzian trans Sasakian manifolds [PDF]

Journal of Hyperstructures
Our focus is on the existence of certain structures and similarities between pseudo slant submanifolds and nearly δ- Lorentzian trans Sasakian manifolds.
Shamsur Rahman
doaj   +1 more source

Spaces of Lorentzian and real stable polynomials are Euclidean balls

Forum of Mathematics, Sigma, 2021
We prove that projective spaces of Lorentzian and real stable polynomials are homeomorphic to Euclidean balls. This solves a conjecture of June Huh and the author.
Petter Brändén
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Bra-ket wormholes in gravitationally prepared states

Journal of High Energy Physics, 2021
We consider two dimensional CFT states that are produced by a gravitational path integral. As a first case, we consider a state produced by Euclidean AdS2 evolution followed by flat space evolution.
Yiming Chen, Victor Gorbenko, Juan Maldacena   +2 more
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Complexity from spinning primaries

Journal of High Energy Physics, 2021
We define circuits given by unitary representations of Lorentzian conformal field theory in 3 and 4 dimensions. Our circuits start from a spinning primary state, allowing us to generalize formulas for the circuit complexity obtained from circuits ...
Robert de Mello Koch, Minkyoo Kim, Hendrik J. R. Van Zyl   +2 more
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Background field method for nonlinear sigma models in nonrelativistic string theory

Journal of High Energy Physics, 2020
We continue the study of nonrelativistic string theory in background fields. Nonrelativistic string theory is described by a nonlinear sigma model that maps a relativistic worldsheet to a non-Lorentzian and non-Riemannian target space geometry, which is ...
Ziqi Yan, Matthew Yu
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Geodesic motion in Euclidean Schwarzschild geometry

European Physical Journal C: Particles and Fields, 2022
This paper performs a systematic investigation of geodesic motion in Euclidean Schwarzschild geometry, which is studied in the equatorial plane. The explicit form of geodesic motion is obtained in terms of incomplete elliptic integrals of first, second ...
Emmanuele Battista, Giampiero Esposito
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Covariant Wick rotation: action, entropy, and holonomies

European Physical Journal C: Particles and Fields, 2023
Given an arbitrary Lorentzian metric $$g_{ab}$$ g ab and a nowhere vanishing, timelike vector field $$u^a$$ u a , one can construct a class of metrics $${\widehat{g}}_{ab}$$ g ^ ab which have Euclidean signature in a specific domain, with a transition to
Raghvendra Singh, Dawood Kothawala
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