Geometry.hpp
1 // Distributed under the MIT License.
2 // See LICENSE.txt for details.
3 
4 #pragma once
5 
6 namespace Xcts {
7 /// \brief Types of conformal geometries for the XCTS equations
8 enum class Geometry {
9  /// Euclidean (flat) manifold with Cartesian coordinates, i.e. the conformal
10  /// metric has components \f$\bar{\gamma}_{ij} = \delta_{ij}\f$ in these
11  /// coordinates and thus all Christoffel symbols vanish:
12  /// \f$\bar{\Gamma}^i_{jk}=0\f$.
14  /// The conformal geometry is either curved or employs curved coordinates, so
15  /// non-vanishing Christoffel symbols must be taken into account.
16  Curved
17 };
18 } // namespace Xcts
Xcts
Items related to solving the Extended Conformal Thin Sandwich (XCTS) decomposition of the Einstein co...
Definition: Flatness.hpp:22
Xcts::Geometry::Curved
@ Curved
The conformal geometry is either curved or employs curved coordinates, so non-vanishing Christoffel s...
Xcts::Geometry::FlatCartesian
@ FlatCartesian
Euclidean (flat) manifold with Cartesian coordinates, i.e. the conformal metric has components in th...
Xcts::Geometry
Geometry
Types of conformal geometries for the XCTS equations.
Definition: Geometry.hpp:8