====updates
I have deleted my networks, rebooted my machines and configured an other network. Now I can see the qr bridge mapped to the router but still can't ping the external gateway:
====[root@localhost ~(keystone_admin)]# ip netns exec qrouter-85fa9459-503d-4996-86f3-6042604fed74 ip r
default via 192.168.5.1 dev qg-e1b584b4-db
10.0.0.0/24 dev qr-7b330e0e-5c proto kernel scope link src 10.0.0.1
192.168.5.0/24 dev qg-e1b584b4-db proto kernel scope link src 192.168.5.70
====[root@localhost ~(keystone_admin)]# ip netns exec qrouter-85fa9459-503d-4996-86f3-6042604fed74 ip a
1: lo: <LOOPBACK,UP,LOWER_UP> mtu 65536 qdisc noqueue state UNKNOWN
link/loopback 00:00:00:00:00:00 brd 00:00:00:00:00:00
inet
127.0.0.1/8 scope host lo
valid_lft forever preferred_lft forever
inet6 ::1/128 scope host
valid_lft forever preferred_lft forever
12: qg-e1b584b4-db: <BROADCAST,MULTICAST,UP,LOWER_UP> mtu 1500 qdisc noqueue state UNKNOWN
link/ether fa:16:3e:68:83:f8 brd ff:ff:ff:ff:ff:ff
inet
192.168.5.70/24 brd 192.168.5.255 scope global qg-e1b584b4-db
valid_lft forever preferred_lft forever
inet
192.168.5.73/32 brd 192.168.5.73 scope global qg-e1b584b4-db
valid_lft forever preferred_lft forever
inet6 fe80::f816:3eff:fe68:83f8/64 scope link
valid_lft forever preferred_lft forever
13: qr-7b330e0e-5c: <BROADCAST,MULTICAST,UP,LOWER_UP> mtu 1500 qdisc noqueue state UNKNOWN
link/ether fa:16:3e:92:9c:90 brd ff:ff:ff:ff:ff:ff
inet
10.0.0.1/24 brd 10.0.0.255 scope global qr-7b330e0e-5c
valid_lft forever preferred_lft forever
inet6 fe80::f816:3eff:fe92:9c90/64 scope link
valid_lft forever preferred_lft forever
=====[root@localhost ~(keystone_admin)]# ip netns exec qrouter-85fa9459-503d-4996-86f3-6042604fed74 ping 192.168.5.1
PING 192.168.5.1 (192.168.5.1) 56(84) bytes of data.
From 192.168.5.70 icmp_seq=10 Destination Host Unreachable
From 192.168.5.70 icmp_seq=11 Destination Host Unreachable
From 192.168.5.70 icmp_seq=12 Destination Host Unreachable
From 192.168.5.70 icmp_seq=13 Destination Host Unreachable
From 192.168.5.70 icmp_seq=14 Destination Host Unreachable
From 192.168.5.70 icmp_seq=15 Destination Host Unreachable
From 192.168.5.70 icmp_seq=16 Destination Host Unreachable
From 192.168.5.70 icmp_seq=17 Destination Host Unreachable
=====[root@localhost ~(keystone_admin)]# ovs-vsctl show
19de58db-509d-4de8-bd88-9222019b13f1
Bridge br-int
fail_mode: secure
Port "tap2decc1bc-bf"
tag: 2
Interface "tap2decc1bc-bf"
type: internal
Port br-int
Interface br-int
type: internal
Port patch-tun
Interface patch-tun
type: patch
options: {peer=patch-int}
Port "qr-7b330e0e-5c"
tag: 2
Interface "qr-7b330e0e-5c"
type: internal
Port "qvo164afbd4-0c"
tag: 2
Interface "qvo164afbd4-0c"
Bridge br-ex
Port "eth0"
Interface "eth0"
Port br-ex
Interface br-ex
type: internal
Port "qg-e1b584b4-db"
Interface "qg-e1b584b4-db"
type: internal
Bridge br-tun
Port br-tun
Interface br-tun
type: internal
Port "vxlan-c0a80520"
Interface "vxlan-c0a80520"
type: vxlan
options: {df_default="true", in_key=flow, local_ip="192.168.5.33", out_key=flow, remote_ip="192.168.5.32"}
Port patch-int
Interface patch-int
type: patch
options: {peer=patch-tun}
ovs_version: "2.3.1"