ifactors SciMax Toolbox ifc1

SciMax Toolbox >> ifb

ifb

Variable

ifb

Description

The frame bracket. The contribution of the frame metric to the connection coefficients is expressed using the frame bracket:

- ifb      + ifb      + ifb
     c a b      b c a      a b c
ifc1    = --------------------------------
abc                  2

The frame bracket itself is defined in terms of the frame field and frame metric. Two alternate methods of computation are used depending on the value of frame_bracket_form. If true (the default) or if the itorsion_flag is true:

d      e                                      f
ifb =  ifr    ifr   (ifri      - ifri      - ifri    itr   )
abc    b      c       a d,e       a e,d       a f    d e

Otherwise:

e      d        d      e
ifb    = (ifr    ifr    - ifr    ifr   ) ifri
abc       b      c,e      b,e    c        a d
ifactors SciMax Toolbox ifc1