├── Analyzer ├── changeTensorIndex.m ├── doFrameTransfer.m ├── evalMetric.m ├── getEnergyConditions.m ├── getMomentumFlowLines.m ├── getScalars.m └── utils │ ├── generateUniformField.m │ ├── getEulerianTransformationMatrix.m │ ├── getEvenPointsOnSphere.m │ ├── getInnerProduct.m │ └── getTrace.m ├── CONTRIBUTING.md ├── Examples ├── 1 Metrics │ ├── M1_First_Metric.mlx │ ├── M2_Default_Metrics.mlx │ └── M3_Building_a_Metric.mlx ├── 2 Energy Tensor │ ├── T1_First_Energy_Tensor.mlx │ ├── T2_Cartoon_Methods.mlx │ ├── T3_GPU_Computation.mlx │ ├── T4_Second_vs_Fourth_Order.mlx │ └── T5_Errors.mlx ├── 3 Analysis │ ├── A1_Energy_Conditions.mlx │ ├── A2_Metric_Scalars.mlx │ ├── A3_Eval_Metric.mlx │ └── A4_Momentum_Flow.mlx └── 4 Warp Shell │ └── W1_Warp_Shell.mlx ├── LICENSE ├── Metrics ├── Alcubierre │ ├── metricGet_Alcubierre.m │ └── metricGet_AlcubierreComoving.m ├── Lentz │ ├── metricGet_Lentz.m │ └── metricGet_LentzComoving.m ├── Minkowski │ └── metricGet_Minkowski.m ├── ModifiedTime │ ├── metricGet_ModifiedTime.m │ └── metricGet_ModifiedTimeComoving.m ├── Schwarzschild │ └── metricGet_Schwarzschild.m ├── VanDenBroeck │ ├── metricGet_VanDenBroeck.m │ └── metricGet_VanDenBroeckComoving.m ├── WarpShell │ └── metricGet_WarpShellComoving.m ├── setMinkowski.m ├── setMinkowskiThreePlusOne.m ├── threePlusOneBuilder.m ├── threePlusOneDecomposer.m └── utils │ ├── TOVconstDensity.m │ ├── alphaNumericSolver.m │ ├── compactSigmoid.m │ ├── shapeFunction_Alcubierre.m │ └── sph2cartDiag.m ├── README.md ├── Solver ├── getEnergyTensor.m ├── utils │ ├── c3Inv.m │ ├── c4Inv.m │ ├── cDet.m │ ├── cell2matGPU.m │ ├── covDiv.m │ ├── einE.m │ ├── einT.m │ ├── getChristoffelSym.m │ ├── legendreRadialInterp.m │ ├── met2den.m │ ├── quadrilinearInterp.m │ ├── ricciS.m │ ├── ricciT.m │ ├── secondOrder │ │ ├── c4Inv2.m │ │ ├── cDet2.m │ │ ├── einE2.m │ │ ├── einT2.m │ │ ├── met2den2.m │ │ ├── ricciS2.m │ │ ├── ricciT2.m │ │ ├── ricciTMem2.m │ │ ├── takeFiniteDifference1_2.m │ │ └── 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