%The paper represents content of the talk made by one of us (V.Belinski) at 11%Italian-Korean Meeting (Seoul, November 2009). A family of staticasymptotically flat exact solutions for Einstein-Maxwell equations whichdescribe the field of two electrically charged massive objects (the Reissner -Nordstrom sources without any struts or strings between them) in equilibriumis discussed. The equilibrium is possible only when one of the sources is ablack hole and another one is a naked singularity or in the case when bothsources are extreme black holes (Majumdar-Papapetrou situation).It is interesting that for sufficiently short distance between the sourceseven a neutral Schwarzshild black hole can "hang" freely in the field of anaked singularity which seems that this phenomenon arise only due to the nakedsingularity creating repulsive gravity effect. We stress that the repulsivegravity effect is not specifically due the naked singularity, since thereexist a regular matter sources exhibiting the same phenomena. One of suchsources in the form of Nambu-Goto spherically symmetric membrane is described.The point is that the membrane are able to cut out the central nakedsingularity region and at the same time to join in appropriate way theReissner - Nordstrom repulsive region.%PACS numbers: 04.20.Jb, 04.40.Nr%Keywords: Exact solutions, Einstein-Maxwell spacetimes, Reissner--Nordstrom%field, Nambu--Goto membrane.