RedHat в своем блоге рассказывает о том, как использовать Health Checks API в ASP.NET Core при развертывании проекта в Kubernetes
https://developers.redhat.com/blog/2018/12/21/asp_dotnet_core_kubernetes_health_check_openshift/
https://developers.redhat.com/blog/2018/12/21/asp_dotnet_core_kubernetes_health_check_openshift/
Red Hat Developer
Using Kubernetes readiness and liveness probes for health checks with ASP.NET Core 2.2 on OpenShift | Red Hat Developer
.NET Core 2.2 has been released. You can try it on Red Hat Enterprise Linux (RHEL) and OpenShift. One of the new features of ASP.NET Core is the Health Checks API.