KIEV, Ukraine — As tensions rose on the streets of the Russian-speaking eastern portion of Ukraine, the response of the new government in the capital on Sunday was not to send troops, but to send rich people.

The interim government, worried about Russian efforts to destabilize or seize regions in eastern Ukraine after effectively taking control of the Crimean peninsula in the south, is recruiting the country’s wealthy businessmen, known as the oligarchs, to serve as governors of the eastern provinces.

The strategy, which Ukrainian news media are attributing to Yulia V. Tymoshenko, a former prime minister and party leader, is recognition that the oligarchs represent the country’s industrial and business elite, and exercise great influence over thousands of workers in the east, which is largely ethnically Russian.

The office of President Oleksandr V. Turchynov announced on Sunday the appointments of two billionaires — Sergei Taruta in Donetsk and Ihor Kolomoysky in Dnipropetrovsk — and more were reportedly under consideration for positions in the eastern regions.