On gravitational field energy of a charged black hole

Details On gravitational field energy of a charged black hole On gravitational field energy of a charged black hole

May 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986mnras.220..555d&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 220, May 15, 1986, p. 555-558.

Astronomy and Astrophysics

Astronomy

5

Black Holes (Astronomy), Field Strength, Gravitational Fields, Mass Distribution, Schwarzschild Metric

Scientific paper

By using the Lynden-Bell & Katz invariant definition for gravitational field energy for static spherical systems, the authors compute the field energy density for a charged sphere. It turns out that the field energy gets decreased by the presence of charge and in particular for a maximally charged (m = e) black hole it is equal to 1/2 Mc2. Unlike the Schwarzschild black hole, wherein the entire energy lies outside the hole, in this case it is shared by both interior and exterior of the hole, and for m = e it is shared equally. The authors also establish a complementary relationship between the Penrose and the Lynden-Bell & Katz definitions for energy inside and outside of a charged black hole.

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