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On static spherically symmetric solutions of the vacuum Brans-Dicke theory

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Abstract

It is shown that among the four classes of the static spherically symmetric solutions of the vacuum Brans-Dicke theory of gravity only two are really independent. Further, by matching exterior and interior (due to physically reasonable spherically symmetric matter source) scalar fields it is found that only the Brans class I solution with a certain restriction on the solution parameters may represent an exterior metric for a nonsingular massive object. The physical viability of the black hole nature of the solution is investigated. It is concluded that no physical black hole solution different from the Schwarzschild black hole is available in the Brans-Dicke theory.

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Authors and Affiliations

  1. Administrative Block and IUCAA Reference Centre, University of North Bengal, Siliguri, 734430, India

    Arunava Bhadra

  2. Department of Mathematics, University of North Bengal, Siliguri, 734430, India

    Kabita Sarkar

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  1. Arunava Bhadra
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  2. Kabita Sarkar
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Correspondence to Arunava Bhadra.

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Bhadra, A., Sarkar, K. On static spherically symmetric solutions of the vacuum Brans-Dicke theory. Gen Relativ Gravit 37, 2189–2199 (2005). https://doi.org/10.1007/s10714-005-0181-1

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  • DOI: https://doi.org/10.1007/s10714-005-0181-1

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