Area metric gravity and accelerating cosmology
arXiv:hep-th/0612141 · doi:10.1088/1126-6708/2007/02/030
Abstract
Area metric manifolds emerge as effective classical backgrounds in quantum string theory and quantum gauge theory, and present a true generalization of metric geometry. Here, we consider area metric manifolds in their own right, and develop in detail the foundations of area metric differential geometry. Based on the construction of an area metric curvature scalar, which reduces in the metric-induced case to the Ricci scalar, we re-interpret the Einstein-Hilbert action as dynamics for an area metric spacetime. In contrast to modifications of general relativity based on metric geometry, no continuous deformation scale needs to be introduced; the extension to area geometry is purely structural and thus rigid. We present an intriguing prediction of area metric gravity: without dark energy or fine-tuning, the late universe exhibits a small acceleration.
52 pages, 1 figure, companion paper to hep-th/0612133
References in corpus (3)
Cited by in corpus (30)
- Emergent Models for Gravity: an Overview of Microscopic Models
- How to Distinguish Dark Energy and Modified Gravity?
- Geodesics and the magnitude-redshift relation on cosmologically symmetric Finsler spacetimes
- Non-Metric Gravity I: Field Equations
- Causal structure and algebraic classification of area metric spacetimes in four dimensions
- Birefringence in pseudo-Finsler spacetimes
- Pseudo-Finslerian spacetimes and multi-refringence
- Propagation of light in area metric backgrounds
- From spin foams to area metric dynamics to gravitons
- Towards effective actions for the continuum limit of spin foams
- Geometry for the accelerating universe
- Geometrical Origin of the Cosmological Constant
- Gravitational dynamics for all tensorial spacetimes carrying predictive, interpretable and quantizable matter
- Quantization of general linear electrodynamics
- Radiation-dominated area metric cosmology
- Consistent matter couplings for Plebanski gravity
- Repulsive gravity model for dark energy
- Brans-Dicke geometry
- Twisted geometries are area-metric geometries
- Area-metric gravity revisited
- Characterisation and representation of non-dissipative electromagnetic medium with a double light cone
- Non-dissipative electromagnetic medium with a double light cone
- Multimetric extension of the PPN formalism: experimental consistency of repulsive gravity
- Massive motion in Brans-Dicke geometry and beyond
- Geometry of Area Without Length
- From area metric backgrounds to the cosmological constant and corrections to the Polyakov action
- Remarks on the algebraic structure of (2, 2) double forms
- Quantum Theory, Gravity and Second Order Geometry
- Emergent fracton strings from covariant bi-form gauge field theory
- Loop Special Relativity: Kaluza-Klein area metric as a line element for stringy events