Line data    Source code

       1           0 : // Distributed under the MIT License.
       2             : // See LICENSE.txt for details.
       3             : 
       4             : #pragma once
       5             : 
       6             : #include <cstddef>
       7             : 
       8             : #include "DataStructures/DataBox/Prefixes.hpp"
       9             : #include "DataStructures/DataBox/Tag.hpp"
      10             : #include "DataStructures/DataVector.hpp"
      11             : #include "DataStructures/Tensor/Tensor.hpp"
      12             : #include "Evolution/Systems/GeneralizedHarmonic/Tags.hpp"
      13             : #include "NumericalAlgorithms/LinearOperators/PartialDerivatives.hpp"
      14             : #include "PointwiseFunctions/GeneralRelativity/Tags.hpp"
      15             : #include "Utilities/ContainerHelpers.hpp"
      16             : #include "Utilities/Gsl.hpp"
      17             : #include "Utilities/TMPL.hpp"
      18             : 
      19             : /// \cond
      20             : namespace domain {
      21             : namespace Tags {
      22             : template <size_t Dim, typename Frame>
      23             : struct Coordinates;
      24             : }  // namespace Tags
      25             : }  // namespace domain
      26             : class DataVector;
      27             : template <typename X, typename Symm, typename IndexList>
      28             : class Tensor;
      29             : /// \endcond
      30             : 
      31             : namespace gh {
      32             : /*!
      33             :  * \ingroup GeneralRelativityGroup
      34             :  * \brief Computes the spacetime derivative of the spacetime metric,
      35             :  * \f$\partial_a g_{bc}\f$
      36             :  *
      37             :  * \f{align*}{
      38             :  * \partial_t g_{ab}&=-\alpha \Pi_{ab} + \beta^i \Phi_{iab} \\
      39             :  * \partial_i g_{ab}&=\Phi_{iab}
      40             :  * \f}
      41             :  */
      42             : template <typename DataType, size_t SpatialDim, typename Frame>
      43           1 : void spacetime_derivative_of_spacetime_metric(
      44             :     gsl::not_null<tnsr::abb<DataType, SpatialDim, Frame>*> da_spacetime_metric,
      45             :     const Scalar<DataType>& lapse,
      46             :     const tnsr::I<DataType, SpatialDim, Frame>& shift,
      47             :     const tnsr::aa<DataType, SpatialDim, Frame>& pi,
      48             :     const tnsr::iaa<DataType, SpatialDim, Frame>& phi);
      49             : }  // namespace gh