13 research outputs found
f-symbols, Killing tensors and conserved Bel-type currents
In the framework of the General Relativity we show that from three
generalizations of Killing vector fields, namely f-symbols, symmetric
St\"{a}ckel-Killing and antisymmetric Killing-Yano tensors, some conserved
currents can be obtained through adequate contractions of the above mentioned
objects with rank four tensors having the properties of Bel or Bel-Robinson
tensors in Einstein spaces.Comment: 13 pages, accepted for publication in Mod. Phys. Lett.
Irreducible Killing Tensors from Third Rank Killing-Yano Tensors
We investigate higher rank Killing-Yano tensors showing that third rank
Killing-Yano tensors are not always trivial objects being possible to construct
irreducible Killing tensors from them. We give as an example the Kimura IIC
metric were from two rank Killing-Yano tensors we obtain a reducible Killing
tensor and from third rank Killing-Yano tensors we obtain three Killing
tensors, one reducible and two irreducible.Comment: 10 page
Anholonomic Frames, Generalized Killing Equations, and Anisotropic Taub NUT Spinning Spaces
By using anholonomic frames in (pseudo) Riemannian spaces we define
anisotropic extensions of Euclidean Taub-NUT spaces. With respect to coordinate
frames such spaces are described by off-diagonal metrics which could be
diagonalized by corresponding anholonomic transforms. We define the conditions
when the 5D vacuum Einstein equations have as solutions anisotropic Taub-NUT
spaces. The generalized Killing equations for the configuration space of
anisotropically spinning particles (anisotropic spinning space) are analyzed.
Simple solutions of the homogeneous part of these equations are expressed in
terms of some anisotropically modified Killing-Yano tensors. The general
results are applied to the case of the four-dimensional locally anisotropic
Taub-NUT manifold with Euclidean signature. We emphasize that all constructions
are for(pseudo) Riemannian spaces defined by vacuum soltions, with generic
anisotropy, of 5D Einstein equations, the solutions being generated by applying
the moving frame method.Comment: Version 4, publishe
Terrestrial Very-Long-Baseline Atom Interferometry:Workshop Summary
This document presents a summary of the 2023 Terrestrial Very-Long-Baseline Atom Interferometry Workshop hosted by CERN. The workshop brought together experts from around the world to discuss the exciting developments in large-scale atom interferometer (AI) prototypes and their potential for detecting ultralight dark matter and gravitational waves. The primary objective of the workshop was to lay the groundwork for an international TVLBAI proto-collaboration. This collaboration aims to unite researchers from different institutions to strategize and secure funding for terrestrial large-scale AI projects. The ultimate goal is to create a roadmap detailing the design and technology choices for one or more km-scale detectors, which will be operational in the mid-2030s. The key sections of this report present the physics case and technical challenges, together with a comprehensive overview of the discussions at the workshop together with the main conclusions
Terrestrial Very-Long-Baseline Atom Interferometry: Workshop Summary
Summary of the Terrestrial Very-Long-Baseline Atom Interferometry Workshop held at CERN: https://indico.cern.ch/event/1208783/This document presents a summary of the 2023 Terrestrial Very-Long-Baseline Atom Interferometry Workshop hosted by CERN. The workshop brought together experts from around the world to discuss the exciting developments in large-scale atom interferometer (AI) prototypes and their potential for detecting ultralight dark matter and gravitational waves. The primary objective of the workshop was to lay the groundwork for an international TVLBAI proto-collaboration. This collaboration aims to unite researchers from different institutions to strategize and secure funding for terrestrial large-scale AI projects. The ultimate goal is to create a roadmap detailing the design and technology choices for one or more km-scale detectors, which will be operational in the mid-2030s. The key sections of this report present the physics case and technical challenges, together with a comprehensive overview of the discussions at the workshop together with the main conclusions
Terrestrial Very-Long-Baseline Atom Interferometry: Workshop Summary
Summary of the Terrestrial Very-Long-Baseline Atom Interferometry Workshop held at CERN: https://indico.cern.ch/event/1208783/This document presents a summary of the 2023 Terrestrial Very-Long-Baseline Atom Interferometry Workshop hosted by CERN. The workshop brought together experts from around the world to discuss the exciting developments in large-scale atom interferometer (AI) prototypes and their potential for detecting ultralight dark matter and gravitational waves. The primary objective of the workshop was to lay the groundwork for an international TVLBAI proto-collaboration. This collaboration aims to unite researchers from different institutions to strategize and secure funding for terrestrial large-scale AI projects. The ultimate goal is to create a roadmap detailing the design and technology choices for one or more km-scale detectors, which will be operational in the mid-2030s. The key sections of this report present the physics case and technical challenges, together with a comprehensive overview of the discussions at the workshop together with the main conclusions
Terrestrial very-long-baseline atom interferometry: Workshop summary
This document presents a summary of the 2023 Terrestrial Very-Long-Baseline Atom Interferometry Workshop hosted by CERN. The workshop brought together experts from around the world to discuss the exciting developments in large-scale atom interferometer (AI) prototypes and their potential for detecting ultralight dark matter and gravitational waves. The primary objective of the workshop was to lay the groundwork for an international TVLBAI proto-collaboration. This collaboration aims to unite researchers from different institutions to strategize and secure funding for terrestrial large-scale AI projects. The ultimate goal is to create a roadmap detailing the design and technology choices for one or more kilometer--scale detectors, which will be operational in the mid-2030s. The key sections of this report present the physics case and technical challenges, together with a comprehensive overview of the discussions at the workshop together with the main conclusions.</jats:p
Terrestrial Very-Long-Baseline Atom Interferometry Workshop (TVLBAI 2023)
This document presents a summary of the 2023 Terrestrial Very-Long-Baseline Atom Interferometry Workshop hosted by CERN. The workshop brought together experts from around the world to discuss the exciting developments in large-scale atom interferometer (AI) prototypes and their potential for detecting ultralight dark matter and gravitational waves. The primary objective of the workshop was to lay the groundwork for an international TVLBAI proto-collaboration. This collaboration aims to unite researchers from different institutions to strategize and secure funding for terrestrial large-scale AI projects. The ultimate goal is to create a roadmap detailing the design and technology choices for one or more km-scale detectors, which will be operational in the mid-2030s. The key sections of this report present the physics case and technical challenges, together with a comprehensive overview of the discussions at the workshop together with the main conclusions