# Noncommutative Geometries and Gravity

@inproceedings{MullerHoissen2007NoncommutativeGA, title={Noncommutative Geometries and Gravity}, author={Folkert Muller-Hoissen}, year={2007} }

We briefly review ideas about “noncommutativity of space-ti me” and approaches toward a corresponding theory of gravity. PACS: 02.40.Gh, 04.50.+h, 04.60.-m

## 11 Citations

### Quantum gravity, field theory and signatures of noncommutative spacetime

- Physics
- 2009

A pedagogical introduction to some of the main ideas and results of field theories on quantized spacetimes is presented, with emphasis on what such field theories may teach us about the problem of…

### A noncommutative geometric approach to the quantum structure of spacetime

- Physics
- 2011

Together with collaborators, we introduced a noncommutative Riemannian geometry over Moyal algebras and systematically developed it for noncommutative spaces embedded in higher dimensions in the last…

### Projective module description of embedded noncommutative spaces

- Mathematics
- 2008

An algebraic formulation is given for the embedded noncommutative spaces over the Moyal algebra developed in a geometric framework in \cite{CTZZ}. We explicitly construct the projective modules…

### Noncommutative Gravity and Quantum Field Theory on Noncommutative Curved Spacetimes

- Mathematics
- 2012

The focus of this PhD thesis is on applications, new developments and extensions of the noncommutative gravity theory proposed by Julius Wess and his group.
In part one we propose an extension of…

### Noncommutative corrections to classical black holes

- Physics
- 2009

We calculate leading long-distance noncommutative corrections to the classical Schwarzschild black hole sourced by a massive noncommutative scalar field. The energy-momentum tensor is taken O(l{sup…

### Field Theory with Coordinate Dependent Noncommutativity

- PhysicsSymmetry, Integrability and Geometry: Methods and Applications
- 2018

We discuss the formulation of classical field theoretical models on $n$-dimensional noncommutative space-time defined by a generic associative star product. A simple procedure for deriving…

### Minimal and maximal lengths of quantum gravity from non-Hermitian position-dependent noncommutativity

- Physics
- 2021

A minimum length scale of the order of Planck length is a feature of many models of quantum gravity that seek to unify quantum mechanics and gravitation. Recently, Perivolaropoulos in his seminal…

### Finsler black holes induced by noncommutative anholonomic distributions in Einstein gravity

- Physics
- 2010

We study Finsler black holes induced from Einstein gravity as possible effects of quantum spacetime noncommutativity. Such Finsler models are defined by nonholonomic frames not on tangent bundles but…

### Position-dependent mass in strong quantum gravitational background fields

- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2021

More recently, we have proposed a set of noncommutative space that describes the quantum gravity at the Planck scale (2020 J. Phys. A: Math. Theor. 53 115303). The interesting significant result we…

### Minimal and maximal lengths of quantum gravity from non-hermitian position-dependent noncommutativity

- PhysicsScientific Reports
- 2022

A minimum length scale of the order of Planck length is a feature of many models of quantum gravity that seek to unify quantum mechanics and gravitation. Recently, Perivolaropoulos in his seminal…

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