  This PhD dissertation covers a range of topics in Finsler geometry and
Finsler gravity, most notably: (i) the characterization of Berwald spaces, (ii)
pseudo-Riemann (non-)metrizability of Berwald spaces, (iii)
$(\alpha,\beta)$-metrics, (iv) exact solutions to Pfeifer and Wohlfarth's
vacuum field equation in Finsler gravity, and (v) Finsler gravitational waves
and their observational signature. An extended abstract can be found in the
dissertation itself.
