certificate.txt

# openssl x509 -in alice-tls.cert -text -noout
Certificate:
    Data:
        Version: 3 (0x2)
        Serial Number:
            d6:a0:86:69:7e:b8:e1:ac
    Signature Algorithm: ecdsa-with-SHA256
        Issuer: CN=localhost, O=lnd
        Validity
            Not Before: Jun 24 11:03:12 2018 GMT
            Not After : May 31 11:03:12 2118 GMT
        Subject: CN=localhost, O=lnd
        Subject Public Key Info:
            Public Key Algorithm: id-ecPublicKey
                Public-Key: (256 bit)
                pub:
                    04:7a:d8:7d:de:12:81:d9:9e:66:ea:c8:53:e6:2e:
                    7c:91:1c:0d:fa:19:0d:a2:2a:73:06:77:89:67:84:
                    73:78:e6:03:7d:84:a3:01:f7:5f:62:be:1e:47:90:
                    d1:0e:aa:e2:56:cc:f5:d9:7a:78:50:20:16:69:ba:
                    84:ee:b6:8a:e6
                ASN1 OID: prime256v1
        X509v3 extensions:
            X509v3 Subject Alternative Name:
                DNS:alice
    Signature Algorithm: ecdsa-with-SHA256
         30:45:02:21:00:97:03:9c:bf:c1:70:c2:8f:e1:97:a8:0c:83:
         c6:ed:28:37:57:f7:c3:6c:ed:47:71:7a:ba:eb:34:7e:c4:f5:
         5f:02:20:73:36:8a:5b:12:78:72:1c:ed:6c:54:21:8d:8c:68:
         71:34:67:9a:55:2e:c0:40:03:9c:c2:75:b7:f2:b6:b2:f8

created_via.sh

        openssl ecparam -genkey -name prime256v1 -out ${LND_OWNER}-tls.key
        openssl req -new -sha256 \
            -key ${LND_OWNER}-tls.key \
            -subj "/CN=localhost/O=lnd" \
            -reqexts SAN \
            -config <(cat /etc/ssl/openssl.cnf \
                <(printf "\n[SAN]\nsubjectAltName=DNS:${LND_OWNER}")) \
            -out csr.csr
        openssl csr -in csr.csr -text -noout # contains the subjectAltName
        openssl req -x509 -sha256 -days 36500 \
            -key ${LND_OWNER}-tls.key \
            -in csr.csr -out ${LND_OWNER}-tls.cert \
            -extensions SAN \
            -config <(cat /etc/ssl/openssl.cnf \
                <(printf "\n[SAN]\nsubjectAltName=DNS:${LND_OWNER}"))
        openssl x509 -in ${LND_OWNER}-tls.cert -text -noout

The certificate has been created by something very similiar then created_via.sh but i get an error like:
[lncli] rpc error: code = Internal desc = connection error: desc = "transport: authentication handshake failed: x509: certificate is valid for alice, notlocalhost"

as in lightningnetwork/lnd#835
described, if one adds a --tlsextraip=
then the resulting cert looks like this:

openssl x509 -in charlie-tls.cert -text -noout
Certificate:
    Data:
        Version: 3 (0x2)
        Serial Number:
            32:b9:40:e9:c3:e8:5b:e0:0b:0e:59:91:60:44:a4:8d
    Signature Algorithm: ecdsa-with-SHA256
        Issuer: O=lnd autogenerated cert, CN=bdfea60242f7
        Validity
            Not Before: Jun 23 11:15:57 2018 GMT
            Not After : Aug 18 11:15:57 2019 GMT
        Subject: O=lnd autogenerated cert, CN=bdfea60242f7
        Subject Public Key Info:
            Public Key Algorithm: id-ecPublicKey
                Public-Key: (256 bit)
                pub:
                    04:a9:4c:8a:ea:fe:73:64:c1:61:2e:4b:68:aa:e5:
                    f7:59:de:36:13:c6:f7:7e:d8:1e:44:15:1b:40:ea:
                    42:0a:b7:a6:03:21:a9:7f:a8:87:1f:33:1c:f2:5d:
                    a8:55:46:1b:00:b2:dc:9b:3c:ac:f9:f2:60:91:90:
                    bf:ca:97:9c:f4
                ASN1 OID: prime256v1
        X509v3 extensions:
            X509v3 Key Usage: critical
                Digital Signature, Key Encipherment, Certificate Sign
            X509v3 Basic Constraints: critical
                CA:TRUE
            X509v3 Subject Alternative Name:
                DNS:bdfea60242f7, DNS:localhost, IP Address:127.0.0.1, IP Address:0:0:0:0:0:0:0:1, IP Address:172.24.0.6
    Signature Algorithm: ecdsa-with-SHA256
         30:44:02:20:7a:ea:ee:f7:a3:ed:1a:ea:ca:f8:be:84:6a:20:
         c6:61:fe:92:b9:3c:02:2a:08:03:6a:96:db:60:23:61:a2:b7:
         02:20:4e:fe:a3:14:68:4e:98:52:65:89:af:6c:89:cb:65:2b:
         de:ad:7e:55:1f:9e:dd:44:d3:9d:40:ba:a9:e3:05:c1

So, finally the solution was to create the certificate like this:

        openssl ecparam -genkey -name prime256v1 -out ${LND_OWNER}-tls.key
        openssl req -new -sha256 \
            -key ${LND_OWNER}-tls.key \
            -subj "/CN=localhost/O=lnd" \
            -reqexts SAN \
            -config <(cat /etc/ssl/openssl.cnf \
                <(printf "\n[SAN]\nsubjectAltName=DNS:localhost,DNS:${LND_OWNER}")) \
            -out csr.csr
        openssl req -in csr.csr -text -noout # contains the subjectAltName
        openssl req -x509 -sha256 -days 36500 \
            -key ${LND_OWNER}-tls.key \
            -in csr.csr -out ${LND_OWNER}-tls.cert \
            -extensions SAN \
            -config <(cat /etc/ssl/openssl.cnf \
                <(printf "\n[SAN]\nsubjectAltName=DNS:localhost,DNS:${LND_OWNER}"))
        openssl x509 -in ${LND_OWNER}-tls.cert -text -noout

which creates this request/certificate:

        openssl ecparam -genkey -name prime256v1 -out ${LND_OWNER}-tls.key
        openssl req -new -sha256 \
            -key ${LND_OWNER}-tls.key \
            -subj "/CN=localhost/O=lnd" \
            -reqexts SAN \
            -config <(cat /etc/ssl/openssl.cnf \
                <(printf "\n[SAN]\nsubjectAltName=DNS:localhost,DNS:${LND_OWNER}")) \
            -out csr.csr
        openssl csr -in csr.csr -text -noout # contains the subjectAltName
        openssl req -x509 -sha256 -days 36500 \
            -key ${LND_OWNER}-tls.key \
            -in csr.csr -out ${LND_OWNER}-tls.cert \
            -extensions SAN \
            -config <(cat /etc/ssl/openssl.cnf \
                <(printf "\n[SAN]\nsubjectAltName=DNS:localhost,DNS:${LND_OWNER}"))
        openssl x509 -in ${LND_OWNER}-tls.cert -text -noout

Thanks for this, super helpful.