Me actualicé de Java 1.6 a Java 1.7 hoy. Desde entonces, se produce un error cuando intento establecer una conexión con mi servidor web a través de SSL:

javax.net.ssl.SSLProtocolException: handshake alert:  unrecognized_name
    at sun.security.ssl.ClientHandshaker.handshakeAlert(ClientHandshaker.java:1288)
    at sun.security.ssl.SSLSocketImpl.recvAlert(SSLSocketImpl.java:1904)
    at sun.security.ssl.SSLSocketImpl.readRecord(SSLSocketImpl.java:1027)
    at sun.security.ssl.SSLSocketImpl.performInitialHandshake(SSLSocketImpl.java:1262)
    at sun.security.ssl.SSLSocketImpl.startHandshake(SSLSocketImpl.java:1289)
    at sun.security.ssl.SSLSocketImpl.startHandshake(SSLSocketImpl.java:1273)
    at sun.net.www.protocol.https.HttpsClient.afterConnect(HttpsClient.java:523)
    at sun.net.www.protocol.https.AbstractDelegateHttpsURLConnection.connect(AbstractDelegateHttpsURLConnection.java:185)
    at sun.net.www.protocol.http.HttpURLConnection.getInputStream(HttpURLConnection.java:1296)
    at sun.net.www.protocol.https.HttpsURLConnectionImpl.getInputStream(HttpsURLConnectionImpl.java:254)
    at java.net.URL.openStream(URL.java:1035)

Aquí está el código:

SAXBuilder builder = new SAXBuilder();
Document document = null;

try {
    url = new URL(https://some url);
    document = (Document) builder.build(url.openStream());
} catch (NoSuchAlgorithmException ex) {
    Logger.getLogger(DownloadLoadiciousComputer.class.getName()).log(Level.SEVERE, null, ex);  
}

Es solo un proyecto de prueba, por eso permito y uso certificados no confiables con el código:

TrustManager[] trustAllCerts = new TrustManager[]{
    new X509TrustManager() {

        public java.security.cert.X509Certificate[] getAcceptedIssuers() {
            return null;
        }

        public void checkClientTrusted(
                java.security.cert.X509Certificate[] certs, String authType) {
        }

        public void checkServerTrusted(
                java.security.cert.X509Certificate[] certs, String authType) {
        }
    }
};

try {

    SSLContext sc = SSLContext.getInstance("SSL");
    sc.init(null, trustAllCerts, new java.security.SecureRandom());
    HttpsURLConnection.setDefaultSSLSocketFactory(sc.getSocketFactory());
} catch (Exception e) {

    Logger.getLogger(DownloadManager.class.getName()).log(Level.SEVERE, null, e);
} 

Intenté conectarme con éxitohttps: //google.co. ¿Dónde está mi culpa?

Gracias