Spring Boot and JpaRepository sort by distance with latitude and longitude params - postgresql

Question

I have a problem creating a query using the JpaRepository interface. I use the Pageable mechanism. How can I add sort by distance? Geographic parameters available at Event Place. (Latitude, longitude). I would like to add also the ability to limit distance by range. E.g:
"Where distance <: range".
I would like the distance to be returned in the "distance" field, which is #Transient.
EventRepository
#Repository
public interface EventRepository extends JpaRepository<Event, Long> {
public static final String GET_PAGE_QUERY = "WHERE " +
"(:searchTerm is null or e.title like '%:searchTerm%') AND " +
"((:userListId) is null or e.user.id in (:userListId)) AND " +
"((:sportTypeIdList) is null or e.sportType.id in (:sportTypeIdList)) " ;
#Query(value = "SELECT e FROM Event e " + GET_PAGE_QUERY,
countQuery = "SELECT COUNT(e) FROM Event e " + GET_PAGE_QUERY)
Page<Event> getPage(#Param("searchTerm") String searchTerm, #Param("userListId") List<Long> userListId, #Param("sportTypeIdList") List<Long> sportTypeIdList, Pageable pageable);
}
Event
#Getter
#Setter
#Entity
#Table(name = "event")
public class Event {
#Id
#Column(name = "ID")
#GeneratedValue(strategy = GenerationType.SEQUENCE, generator = "event_seq")
#SequenceGenerator(name = "event_seq", sequenceName = "event_seq", allocationSize = 1)
private Long id;
#Column(name = "TITLE", length = 50, nullable = false)
#NotNull
#Size(min = 4, max = 50)
private String title;
#Column(name = "DESCRIPTION", length = 500, nullable = false)
#NotNull
#Size(min = 4, max = 500)
private String description;
#ManyToOne(fetch = FetchType.EAGER, optional = false)
private SportType sportType;
#OneToOne(fetch = FetchType.EAGER, optional = false)
private EventPlace place;
#ManyToOne(optional = false)
private User user;
#JsonFormat(shape = JsonFormat.Shape.STRING, pattern = "yyyy-MM-dd'T'HH:mm:ssZ")
#Column(name = "CREATE_DATE", nullable = false)
#Temporal(TemporalType.TIMESTAMP)
#NotNull
private Date createDate = new Date();
#JsonFormat(shape = JsonFormat.Shape.STRING, pattern = "yyyy-MM-dd'T'HH:mm:ssZ")
#Column(name = "START_DATE", nullable = false)
#Temporal(TemporalType.TIMESTAMP)
#NotNull
private Date startDate;
#Column(name = "STATUS", nullable = false)
#NotNull
#Enumerated(EnumType.STRING)
private EventStatus status = EventStatus.ACTIVE;
#Transient
private double distance;
}
EventPlace
#Getter
#Setter
#Entity
public class EventPlace {
#Id
#Column(name = "ID")
#GeneratedValue(strategy = GenerationType.SEQUENCE, generator = "event_place_seq")
#SequenceGenerator(name = "event_place_seq", sequenceName = "event_place_seq", allocationSize = 1)
private Long id;
#Column(name = "NAME", length = 50, nullable = false)
#NotNull
#Size(min = 4, max = 50)
private String name;
#Column(name = "CITY", length = 50, nullable = false)
#NotNull
#Size(min = 4, max = 50)
private String city;
#Column(name = "STREET", length = 50, nullable = false)
#NotNull
#Size(min = 4, max = 50)
private String street;
#Column(name = "ZIP_CODE", length = 50, nullable = false)
#NotNull
#Size(min = 4, max = 50)
private String zipCode;
#Column(name = "DESCRIPTION", length = 500, nullable = false)
#NotNull
#Size(min = 4, max = 500)
private String description;
#Column(name = "LATITUDE", nullable = false)
#NotNull
private Double latitude;
#Column(name = "LONGITUDE", nullable = false)
#NotNull
private Double longitude;
}