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First safe-boot your system by following below steps:
Are you able to boot into Safe mode ? If so please restart the system and try to boot normally.
Okay, then you should try the internet recovery to re-install Mac OSX. Please refer the following webpage which will help you to perform internet recovery.
It will take time as per the speed of your internet connection. 3 to 4 hours is usual. But if it is taking too much time and there is no indication of installation progress, please reboot the system and Run Disk utility to Repair Disk and Repair Permissions.
Follow the steps below:
Restart the computer and after the chime press and hold down the COMMAND and R keys until the menu screen appears. Alternatively, restart the computer and after the chime press and hold down the OPTION key until the boot manager screen appears. Select the Recovery HD and click on the downward pointing arrow button.
When the recovery menu appears select Disk Utility. After DU loads select your hard drive entry (mfgr.'s ID and drive size) from the the left side list. In the DU status area you will see an entry for the S.M.A.R.T. status of the hard drive. If it does not say "Verified" then the hard drive is failing or failed. (SMART status is not reported on external Firewire or USB drives.) If the drive is "Verified" then select your OS X volume from the list on the left (sub-entry below the drive entry,) click on the First Aid tab, then click on the Repair Disk button. If DU reports any errors that have been fixed, then re-run Repair Disk until no errors are reported. If no errors are reported then click on the Repair Permissions button. When the process is completed, then quit DU and return to the main menu. Select Restart from the Apple menu. Then try to re-install again.
If there is no progress indication and it only shows the spinning wheel, restart the computer and use disk utility as I recommended before.