1 ScalarBase

This thorn defines a set of variables and parameters commonly needed to evolve (complex) scalar fields, potentially coupled to the Einstein field equations. Currently it defines the gridfunctions phi1 and phi2, as well as their “conjugated momenta” Kphi1 and Kphi2. It also declares the parameter mu, the scalar field mass.

This thorn is designed to interface with the evolution thorn ScalarEvolve, but any other scalar evolution code should also work. Within ScalarEvolve, the variables phi1 and phi2 represent the real and imaginary parts of some complex scalar field \(\Phi \), satisfying the Einstein-Klein-Gordon system \begin {align} G_{\mu \nu } & = 8 \pi G T_{\mu \nu } \\ \square \Phi & = \mu ^2 \Phi \end {align}

where \(\mu \) is the mass parameter (denoted by mu in param.ccl) and \begin {equation} T_{\mu \nu } = \bar \Phi _{,\mu } \Phi _{,\nu } + \Phi _{,\mu } \bar \Phi _{,\nu } - g_{\mu \nu } [ \bar \Phi ^{,\sigma } \Phi _{,\sigma } + \mu ^2 \bar \Phi \Phi ] \end {equation}

2 Obtaining This Thorn

This thorn is included in the Einstein Toolkit and can also be obtained through the Canuda numerical relativity library [1].

References

3 Parameters

n_kphi1	Scope: restricted	INT
Description: n power of outgoing boundary r fall off rate for Kphi1
Range		Default: 2
0:4	??

n_kphi2	Scope: restricted	INT
Description: n power of outgoing boundary r fall off rate for Kphi2
Range		Default: 2
0:4	??

n_phi1	Scope: restricted	INT
Description: n power of outgoing boundary r fall off rate for phi1
Range		Default: 1
0:4	??

n_phi2	Scope: restricted	INT
Description: n power of outgoing boundary r fall off rate for phi2
Range		Default: 1
0:4	??

4 Interfaces

General

Implements:

scalarbase

Inherits:

grid

Grid Variables

4.0.1 PUBLIC GROUPS

5 Schedule

This section lists all the variables which are assigned storage by thorn Scalar/ScalarBase. Storage can either last for the duration of the run (Always means that if this thorn is activated storage will be assigned, Conditional means that if this thorn is activated storage will be assigned for the duration of the run if some condition is met), or can be turned on for the duration of a schedule function.

Storage

Scheduled Functions

CCTK_WRAGH

  scalarbase_symmetries

  register symmetries of the grid functions

MoL_Step (conditional)

  scalar_rhs_force

  writes external force grid function