% *======================================================================*
%  Cactus Thorn template for ThornGuide documentation
%  Author: Ian Kelley
%  Date: Sun Jun 02, 2002
%
%  Thorn documentation in the latex file doc/documentation.tex
%  will be included in ThornGuides built with the Cactus make system.
%  The scripts employed by the make system automatically include
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%       % START CACTUS THORNGUIDE",
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%     thorn WaveToyC should be renamed to CactusWave_WaveToyC_wave.eps
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%   - References should be included with the latex "\bibitem" command.
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% 	\begin{center}
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%   {J. Author, {\em The Title of the Book, Journal, or periodical}, 1 (1999),
%   1--16. {\tt http://www.nowhere.com/}}
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% *======================================================================*

\documentclass{article}

% Use the Cactus ThornGuide style file
% (Automatically used from Cactus distribution, if you have a
%  thorn without the Cactus Flesh download this from the Cactus
%  homepage at www.cactuscode.org)
\usepackage{../../../../doc/latex/cactus}

\begin{document}

% The author of the documentation
\author{Helvi Witek, Miguel Zilh\~ao}

% The title of the document (not necessarily the name of the Thorn)
\title{ProcaEvolve}

% the date your document was last changed:
\date{October 26 2018}

\maketitle

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% START CACTUS THORNGUIDE

% Add all definitions used in this documentation here
%   \def\mydef etc

% Add an abstract for this thorn's documentation
% \begin{abstract}

% \end{abstract}

% The following sections are suggestive only.
% Remove them or add your own.

\section{Notes}

This thorn evolves the Proca equations in generic spacetimes, as outlined
in~\cite{Zilhao:2015tya}. When setting the mass of the vector field $\mu$
(parameter \texttt{mu} from thorn \texttt{ProcaBase}) to zero, the system
reduces to the Maxwell equations in the Lorenz gauge.

``Right-hand-side'' variables \texttt{rhs\_Ai}, \texttt{rhs\_Ei},
\texttt{rhs\_Aphi} and \texttt{rhs\_Zeta} defined in \texttt{interface.ccl} are
given by equations (2.12), (2.13), (2.15) and (2.16) respectively
in~\cite{Zilhao:2015tya}.




\begin{thebibliography}{9}

% \cite{Zilhao:2015tya}
\bibitem{Zilhao:2015tya}
  M.~Zilh\~ao, H.~Witek and V.~Cardoso,
  ``Nonlinear interactions between black holes and Proca fields,''
  Class.\ Quant.\ Grav.\  {\bf 32} (2015) 234003
  doi:10.1088/0264-9381/32/23/234003
  [arXiv:1505.00797 [gr-qc]].
  %%CITATION = doi:10.1088/0264-9381/32/23/234003;%%
  %25 citations counted in INSPIRE as of 26 Oct 2018

\end{thebibliography}

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% END CACTUS THORNGUIDE

\end{document}
