Ok, I tried using your code to replicate the problem to no avail (get the certificate, import it using the keytool command and then run the code). my conclusion is as follows.
2015-03-22 23:03:16.192:INFO::main: Logging initialized @503ms Socket Connected:WebSocketSession[websocket=JettyListenerEventDriver[com.ivan.Main],behavior=CLIENT, connection=WebSocketClientConnection@77ae29b0 {IDLE}{f=Flusher[queueSize=0,aggregateSize=0,failure=null],g=Generator[CLIENT,validating], p=Parser@4e086d6d [ExtensionStack,s=START,c=0,len=0,f=null, p=WebSocketPolicy@7c0ceccc [behavior=CLIENT,maxTextMessageSize=65536,maxTextMessageBufferSize=32768,maxBinaryMessageSize=65536,maxBinaryMessageBufferSize=32768,asyncWriteTimeout=60000,idleTimeout=300000,inputBufferSize=4096]]}, remote=WebSocketRemoteEndpoint@49f64 [batching=true],incoming=JettyListenerEventDriver[com.ivan.Main],outgoing=ExtensionStack[queueSize=0,extensions=[],incoming=org.eclipse.jetty.websocket.common.WebSocketSession,outgoing=org.eclipse.jetty.websocket.client.io.WebSocketClientConnection]] Received TEXT message: {"action":"155-questions-active","data":"{\"siteBaseHostAddress\":\"cogsci.stackexchange.com\",\"id\":9404,\"titleEncodedFancy\":\"What's the difference between repetition suppression and habituation?\",\"bodySummary\":\"Neural repetition suppression seems to be describing behavioral habituation on a neuronal level. What the difference between these two terms?\\n\",\"tags\":[\"cognitive-neuroscience\",\"terminology\",\"conditioning\",\"perceptual-learning\"],\"lastActivityDate\":1427036607,\"url\":\"http://cogsci.stackexchange.com/questions/9404/whats-the-difference-between-repetition-suppression-and-habituation\",\"ownerUrl\":\"http://cogsci.stackexchange.com/users/7569/recursive-farts\",\"ownerDisplayName\":\"RECURSIVE FARTS\",\"apiSiteParameter\":\"cogsci\"}"} Received TEXT message: {"action":"155-questions-active","data":"{\"siteBaseHostAddress\":\"mathematica.stackexchange.com\",\"id\":77933,\"titleEncodedFancy\":\"FunctionDomain doesn't work with If\",\"bodySummary\":\"When I call FunctionDomain for function defined by formule with If, for example \\n\\nf[x_]:=If[x<0, x, x^3], \\n\\nI get \\\"Unable to find the domain with the available methods\\\". What should I do to get a ...\",\"tags\":[\"functions\"],\"lastActivityDate\":1427036609,\"url\":\"http://mathematica.stackexchange.com/questions/77933/functiondomain-doesnt-work-with-if\",\"ownerUrl\":\"http://mathematica.stackexchange.com/users/27150/adolzi\",\"ownerDisplayName\":\"adolzi\",\"apiSiteParameter\":\"mathematica\"}"} Received TEXT message: {"action":"155-questions-active","data":"{\"siteBaseHostAddress\":\"serverfault.com\",\"id\":677390,\"titleEncodedFancy\":\"Smart Array E200i battery on 350ML did not fix the warning message (battery failure)\",\"bodySummary\":\"I have got this warning message on the System Management in a Proliant server 350ML G5.\\n\\nDegraded Accelerator\\nName Value\\nStatus: Temporarily Disabled\\nError Code: Cache Disabled Low Batteries\\nSerial ...\",\"tags\":[\"hp-proliant\",\"hp-smart-array\"],\"lastActivityDate\":1427036609,\"url\":\"http://serverfault.com/questions/677390/smart-array-e200i-battery-on-350ml-did-not-fix-the-warning-message-battery-fail\",\"ownerUrl\":\"http://serverfault.com/users/164557/dlopezgonzalez\",\"ownerDisplayName\":\"dlopezgonzalez\",\"apiSiteParameter\":\"serverfault\"}"} Received TEXT message: {"action":"155-questions-active","data":"{\"siteBaseHostAddress\":\"askubuntu.com\",\"id\":599889,\"titleEncodedFancy\":\"Is downgrading back to 14.04 from 14.10 possible?\",\"bodySummary\":\"I am using Ubuntu 14.10 alongside Windows 7 and I want to degrade to 14.04. I made a bootable pendrive using Universal USB Installer and seems like the pendrive is working fine. On the Installer Boot ...\",\"tags\":[\"14.04\",\"boot\",\"upgrade\",\"downgrade\"],\"lastActivityDate\":1427036610,\"url\":\"http://askubuntu.com/questions/599889/is-downgrading-back-to-14-04-from-14-10-possible\",\"ownerUrl\":\"http://askubuntu.com/users/374332/pkj\",\"ownerDisplayName\":\"pkj\",\"apiSiteParameter\":\"askubuntu\"}"} Received TEXT message: {"action":"155-questions-active","data":"{\"siteBaseHostAddress\":\"superuser.com\",\"id\":814765,\"titleEncodedFancy\":\"External Harddrive Shutting Off and On Every So Often While Listening to Music\",\"bodySummary\":\"I am always listening to music on my PC (always via VLC Player) and every so often - maybe once every 2 songs, sometimes more frequently- the music stops playing (VLC buffer/progress bar stops ...\",\"tags\":[\"hard-drive\",\"power\",\"external\"],\"lastActivityDate\":1427036610,\"url\":\"http://superuser.com/questions/814765/external-harddrive-shutting-off-and-on-every-so-often-while-listening-to-music\",\"ownerUrl\":\"http://superuser.com/users/338547/supercookie47\",\"ownerDisplayName\":\"SuperCookie47\",\"apiSiteParameter\":\"superuser\"}"} Received TEXT message: {"action":"155-questions-active","data":"{\"siteBaseHostAddress\":\"math.stackexchange.com\",\"id\":1200778,\"titleEncodedFancy\":\"Continuity of a piecewise function at a specific point\",\"bodySummary\":\"I am having trouble proving the following function is not continuous at $x = 0$ using a formal definition of continuity.\\n\\n$\\nf(x) = \\\\left\\\\{\\n \\\\begin{array}{lr}\\n \\\\sin(\\\\frac{1}{x}) & : x \\\\neq 0\\\\\\\\\\n ...\",\"tags\":[\"real-analysis\",\"functions\",\"continuity\",\"epsilon-delta\"],\"lastActivityDate\":1427036612,\"url\":\"http://math.stackexchange.com/questions/1200778/continuity-of-a-piecewise-function-at-a-specific-point\",\"ownerUrl\":\"http://math.stackexchange.com/users/222744/george\",\"ownerDisplayName\":\"George\",\"apiSiteParameter\":\"math\"}"}
So if you want the web socket client running in java, I think you could just accept the whole certificate as the link that @tinker gave you.
The code should be like that. perhaps you could try and see what happens in your place.
import java.net.URI; import java.security.cert.X509Certificate; import java.util.concurrent.Future; import javax.net.ssl.SSLContext; import javax.net.ssl.TrustManager; import javax.net.ssl.X509TrustManager; import org.eclipse.jetty.util.ssl.SslContextFactory; import org.eclipse.jetty.websocket.api.Session; import org.eclipse.jetty.websocket.api.WebSocketAdapter; import org.eclipse.jetty.websocket.client.WebSocketClient; public class Main extends WebSocketAdapter { public static void main(String[] args) { String url = "wss://qa.sockets.stackexchange.com/";