why does this code crash? is using strcat illegal on character pointers?

#include <stdio.h>
#include <string.h>

int main()
{
   char *s1 = "Hello, ";
   char *s2 = "world!";
   char *s3 = strcat(s1, s2);
   printf("%s",s3);
   return 0;
}

please give a proper way with referring to both array and pointers.