Sorry, with RMDB solutions (Oracle, SQL Server, Postgres, MySQL and the likes) indexing might not mean what you think it means.
Database queries that often occur are put into and index. With more complex ones That quickly becomes very resource demanding. It will make your processor/core(s) work very hard and it will start to do a lot of reading and writing to disk. Those two alone will make your PC a lot slower. I know that Oracle databases can be very demanding when they are indexed. Hence they do such tasks at times when the database is not or hardly accessed and when the DB has detected that there is a lot new rows added or removed.
However, I get the impression that you think your database is slow and that indexing is the only cure. Dedicate a computer to be a database server + giving that PC lots of RAM, a decent processor and the fastest hard disks and network card(s) you can afford, together with a monthly/weekly indexing of your database will help a lot more.
Then again, if your database is badly designed, then it will be slow no matter the amount of hardware or indexing you throw at it. Database design is (a lot) more difficult than you think.
I have no experience with this type of database, but you could try to use NoSQL-based database. Perhaps that concept will help you more. What I can tell you is that with choosing your database, you will always be subject to compromise.
If you want to use a different database, and your database is small (10 GByte of storage space or less) than you can use the express version of SQL Server for free. It isn't slow and comes with quite nice management software. But if your database needs more 10 GByte of storage space, you will have to pay quite a handsome amount of money for a license. Although that is still nothing when compared with an Oracle license. Although I must say that the Oracle Express database (also free, but limited to 4GByte of storage space) is very useful.
However, Postgres is open source, not (too) limited in storage space, uses an SQL dialect and features that are quite compatible with Oracle and works on practically any operating system.