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Black hole solutions in mimetic Born-Infeld gravity
Che-Yu Chen1,2, Mariam Bouhmadi-López3,4, Pisin Chen1,2,5
11Department of Physics and Center for Theoretical Sciences, National Taiwan University, Taipei, 10617 Taiwan.
The European Physical Journal. C, Particles and Fields
|February 6, 2018
Summary
Mimetic Born-Infeld gravity alters black hole singularities. A spacelike singularity may become lightlike, with infinite proper time for infalling observers.
Area of Science:
- Theoretical Physics
- General Relativity
- Gravitational Singularities
Background:
- The Eddington-inspired-Born-Infeld (EiBI) model is a modified theory of gravity.
- The mimetic approach introduces a scalar field to modify gravitational theories.
Purpose of the Study:
- To investigate vacuum, static, and spherically symmetric solutions in mimetic Born-Infeld gravity.
- To analyze the impact of the mimetic field on black hole singularities.
Main Methods:
- Studying vacuum, static, and spherically symmetric solutions.
- Reformulating the Eddington-inspired-Born-Infeld (EiBI) model using the mimetic approach.
Main Results:
- The mimetic field leads to non-trivial vacuum solutions distinct from Einstein gravity.
- A spacelike singularity within a Schwarzschild black hole can be transformed into a lightlike singularity.
- Curvature invariants still diverge at the singularity, but the maximal proper time for infalling observers becomes infinite.
Conclusions:
- Mimetic Born-Infeld gravity offers a novel perspective on black hole structure.
- The mimetic field has profound implications for the nature of gravitational singularities.
- This modification could resolve or alter the nature of singularities in black hole physics.
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