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The majority of stars both host planetary systems and evolve into a whitedwarf (WD). To understand their post-main-sequence (PMS) planetary systemevolution, we present a search for transiting/eclipsing planets and otherSubstellar Bodies (SBs) around WDs using a sample of 1148 WDs observed by K2.Using transit injections, we estimate the completeness of our search. We placeconstraints on the occurrence of planets and substellar bodies around whitedwarfs as a function of planet radius and orbital period. For short-period ($P< 40$ days) small objects, from asteroid-sized to $1.5 \ R_{\oplus}$, these arethe strongest constraints known to date. We further constrain the occurrence ofhot Jupiters ($< 1.5 \%$), habitable zone Earth-sized planets ($< 28 \%$), anddisintegrating short-period planets ($\sim 12 \%$). We blindly recovered allpreviously known eclipsing objects, providing confidence in our analysis, andmake all light curves publicly available.

The occurrence of planets and other substellar bodies around white dwarfs using K2