1. 确保正确添加了以下依赖项：

implementation 'com.google.android.gms:play-services-auth:19.0.0'
implementation 'com.google.android.gms:play-services-auth-api-phone:17.4.0'

2. 确保正确配置AndroidManifest.xml文件

3. 确保正确调用代码

在onCreate()方法中添加以下代码：

GoogleSignInOptions gso = new GoogleSignInOptions.Builder(GoogleSignInOptions.DEFAULT_SIGN_IN)
        .requestIdToken(getString(R.string.default_web_client_id))
        .requestEmail()
        .build();

GoogleSignInClient mGoogleSignInClient = GoogleSignIn.getClient(this, gso);

mGoogleSignInClient.silentSignIn()
        .addOnCompleteListener(this, new OnCompleteListener() {
            @Override
            public void onComplete(@NonNull Task task) {
                if (task.isSuccessful()) {
                    // Sign in success, update UI with the signed-in user's information
                    Log.d(TAG, "signInWithCredential:success");
                    GoogleSignInAccount account = task.getResult();
                } else {
                    // If sign in fails, display a message to the user.
                    Log.w(TAG, "signInWithCredential:failure", task.getException());
                }
            }
        });

以上方法可以解决Android OAuth授权页面停留在白色加载页面上的问题。