# Anholonomic frames, generalized Killing equations, and anisotropic Taub NUT spinning spaces

@article{Vacaru2001AnholonomicFG, title={Anholonomic frames, generalized Killing equations, and anisotropic Taub NUT spinning spaces}, author={Sergiu I. Vacaru and Ovidiu Tintareanu-Mircea}, journal={Nuclear Physics}, year={2001}, volume={626}, pages={239-264} }

## 42 Citations

### Dirac spinor waves and solitons in anisotropic Taub-NUT spaces

- Physics
- 2001

We apply a new general method of anholonomic frames with associated nonlinear connection structure to construct new classes of exact solutions of Einstein–Dirac equations in five-dimensional (5D)…

### Dirac spinor waves and solitons in anisotropic Taub-NUT spaces

- Physics
- 2001

We apply a new general method of anholonomic frames with associated nonlinear connection structure to construct new classes of exact solutions of Einstein–Dirac equations in five-dimensional (5D)…

### PARAMETRIC NONHOLONOMIC FRAME TRANSFORMS AND EXACT SOLUTIONS IN GRAVITY

- Mathematics
- 2007

A generalized geometric method is developed for constructing exact solutions of gravitational field equations in Einstein theory and generalizations. First, we apply the formalism of nonholonomic…

### Exact solutions with noncommutative symmetries in Einstein and gauge gravity

- Mathematics
- 2005

We present new classes of exact solutions with noncommutative symmetries constructed in vacuum Einstein gravity (in general, with nonzero cosmological constant), five-dimensional (5D) gravity and…

### Nonlinear Connections and Nearly Autoparallel Maps in General Relativity

- Mathematics, Physics
- 2003

We apply the method of moving anholonomic frames with associated nonlinear connections to the (pseudo) Riemannian space geometry and examine the conditions when locally anisotropic structures…

### Off-diagonal deformations of kerr black holes in Einstein and modified massive gravity and higher dimensions

- Physics
- 2014

We find general parameterizations for generic off-diagonal spacetime metrics and matter sources in general relativity (GR) and modified gravity theories when the field equations decouple with respect…

### Axiomatic formulations of modified gravity theories with nonlinear dispersion relations and Finsler–Lagrange–Hamilton geometry

- PhysicsThe European Physical Journal C
- 2018

We develop an axiomatic geometric approach and provide an unconventional review of modified/nonlinear gravity theories, MGTs, with modified dispersion relations, MDRs, encoding Lorentz invariance…

### Axiomatic formulations of modified gravity theories with nonlinear dispersion relations and Finsler–Lagrange–Hamilton geometry

- PhysicsThe European Physical Journal C
- 2018

We develop an axiomatic geometric approach and provide an unconventional review of modified/nonlinear gravity theories, MGTs, with modified dispersion relations, MDRs, encoding Lorentz invariance…

### Clifford-Finsler algebroids and nonholonomic Einstein-Dirac structures

- Mathematics
- 2006

We propose a new framework for constructing geometric and physical models on nonholonomic manifold provided both with Clifford-Lie algebroid symmetry and nonlinear connection structure. Explicit…

### Finsler and Lagrange Geometries in Einstein and String Gravity

- Mathematics, Physics
- 2008

We review the current status of Finsler–Lagrange geometry and generalizations. The goal is to aid non-experts on Finsler spaces, but physicists and geometers skilled in general relativity and…

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We apply a new general method of anholonomic frames with associated nonlinear connection structure to construct new classes of exact solutions of Einstein–Dirac equations in five-dimensional (5D)…

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We analyze locally anisotropic configurations modeled by anholonomic frames with associated nonlinear connections in general relativity, affine–Poincarè and/or de Sitter gauge gravity and…

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