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The development of special and general relativity has relied significantly on ideas of symmetry. Similarly, modern efforts to test these theories have often sought either violations or extensions of the symmetries seen, and symmetry is regularly used a tool in seeking new applications. In this Special Issue of symmetry, we explore some contemporary research related to symmetry in special and general relativity.

determinants of block matrices --- standard model extension --- penning trap --- Lorentz violation --- quantum mechanics --- CPT violation --- Palais principle of symmetric criticality --- Majorana neutrinos --- antimatter --- Noether’s theorem --- interferometry --- solutions to Einstein’s equations --- pulsar timing --- standard-model extension --- binary pulsars --- lorentz violation --- Lorentz and CPT violation --- Lorentz symmetry --- magnetic monopole --- Dirac fermions --- rotation invariance --- geodesic deviation --- Weyl method --- gravitational waves --- Standard-Model Extension --- Dirac neutrinos