Results 31 to 40 of about 123,234 (185)

2+1 gravity, chaos and time machines [PDF]

open access: yes, 2000
2+1 gravity for spacetimes with topology RxT^2 has been much studied. We add a description of how to extend these spacetimes across a Cauchy horizon into a region where the torus becomes Lorentzian. The result is a one parameter family of tori given by a
Bengtsson, Ingemar, Braennlund, Johan
core   +3 more sources

Integral type contractions in modular metric spaces [PDF]

open access: yesJournal of Inequalities and Applications, 2013
Abstract We prove the existence and uniqueness of a common fixed point of compatible mappings of integral type in modular metric spaces. MSC:47H09, 47H10, 46A80.
Azadifar, Bahareh   +3 more
openaire   +2 more sources

Best Approximation of Fixed-Point Results for Branciari Contraction of Integral Type on Generalized Modular Metric Space

open access: yesMathematics, 2023
In the realm of generalized modular metric spaces, we substantiate the validity of fixed-point theorems with Branciari contractions. This paper expands and broadens the original theorems in this context. Subsequently, by building upon this foundation, we
Nesrin Manav Tatar, Ravi P. Agarwal
doaj   +1 more source

Modular Inflation Observables and $j$-Inflation Phenomenology [PDF]

open access: yes, 2017
Modular inflation is the restriction to two fields of automorphic inflation, a general group based framework for multifield scalar field theories with curved target spaces, which can be parametrized by the comoving curvature perturbation ${\cal R}$ and ...
Schimmrigk, Rolf
core   +1 more source

A New Approach to Study Fixed Point of Multivalued Mappings in Modular Metric Spaces and Applications

open access: yesMathematics, 2016
The purpose of this paper is to present a new approach to study the existence of fixed points for multivalued F-contraction in the setting of modular metric spaces. In establishing this connection, we introduce the notion of multivalued F-contraction and
Dilip Jain   +3 more
doaj   +1 more source

On vacuum fluctuations in quantum gravity and interferometer arm fluctuations

open access: yesPhysics Letters B, 2022
We propose a simple model of spacetime vacuum fluctuations motivated by AdS/CFT, where the vacuum is described by a thermal density matrix, ρ=e−KTr(e−K) with K the modular Hamiltonian. In AdS/CFT, both the expectation value of K and its fluctuations 〈ΔK2〉
Kathryn M. Zurek
doaj   +1 more source

Chern-Simons Quantization of (2+1)-Anti-De Sitter Gravity on a Torus [PDF]

open access: yes, 1994
Chern-Simons formulation of 2+1 dimensional Einstein gravity with a negative cosmological constant is investigated when the spacetime has the topology $ R\times T^{2}$. The physical phase space is shown to be a direct product of two sub-phase spaces each
Carlip S   +11 more
core   +2 more sources

Some Extensions of Fixed Point Results over Quasi-JS-Spaces

open access: yesJournal of Function Spaces, 2016
We introduce the notion of quasi-JS-metric space. After defining the basic topological properties of quasi-JS-metric space, we investigate fixed point of certain mapping in the frame of complete quasi-JS-metric space.
Maha Noorwali   +2 more
doaj   +1 more source

Some Common Fixed Point Results in Modular Ultrametric Space Using Various Contractions and Their Application to Well-Posedness

open access: yesMathematics, 2023
The aim of this study is to prove the existence and uniqueness of fixed point and common fixed point theorems for self-mappings in modular ultrametric spaces.
Yahya Almalki   +3 more
doaj   +1 more source

Entropy on a null surface for interacting quantum field theories and the Bousso bound [PDF]

open access: yes, 2014
We study the vacuum-subtracted von Neumann entropy of a segment on a null plane. We argue that for interacting quantum field theories in more than two dimensions, this entropy has a simple expression in terms of the expectation value of the null ...
Bousso, Raphael   +3 more
core   +3 more sources

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