Recently, scientists have focused their attention on the black hole solutions in various alternative theories of gravity, particularly theories of gravitation with background scalar and pseudoscalar
Chetouani, "Bound-states of the (1 + 1)-dimensional DKP equation with a pseudoscalar
linear plus Coulomb-like potential," Physics Letters A, vol.
In the geometric algebra, a bivector represents an oriented plane and i is a pseudoscalar
which represents an oriented volume .
When grade is 0,1, 2, 3, 4, and 5, the corresponding blade is scalar, vector, bivector, trivector, quadvector, and pseudoscalar
, respectively .
For any vectors x = ([x.sub.0], [x.sub.1], ..., [x.sub.n]) and y = ([y.sub.0], [y.sub.1], ..., [y.sub.n]) in [R.sup.n + 1], the pseudoscalar
product of x and y is defined by
For any vectors [??] = ([x.sub.0], [x.sub.1], [x.sub.2]) and [??] = ([y.sub.0], [y.sub.1], [y.sub.2]) in [R.sup.3] the pseudoscalar
product of [??] and [??] is defined by [<*,*>.sub.L] = -[x.sub.0][y.sub.0]+ [x.sub.1][y.sub.1] + [x.sub.2][y.sub.2].
1:00 PROBING LIGHT PSEUDOSCALAR
, AXIAL VECTOR STATES
and define the (unit) pseudoscalar
e = [e.sub.0123].
The n-volume pseudoscalar
is [J.sub.n;s] = [e.sub.0][e.sub.1]...[e.sub.n-1].
The other class, which involves both [[lambda].sub.ijk] and [[lambda]'.sub.ijk], has scalar and pseudoscalar