Hyperscaling Violating Solutions in Generalised EMD Theory
Li Li
TL;DR
This paper derives hyperscaling violating solutions within a generalized Einstein-Maxwell-Dilaton framework, providing analytic solutions in specific cases and analyzing parameter constraints for physically meaningful holographic ground states.
Contribution
It introduces a generalized approach to find hyperscaling violating solutions in Einstein-Maxwell-Dilaton theories with multiple scalars and vectors, extending previous models.
Findings
Analytic hyperscaling violating solutions derived in special cases
Physical constraints on parameters for well-defined holographic ground states identified
Framework accommodates multiple scalars and vectors for richer holographic models
Abstract
This short note is devoted to deriving scaling but hyperscaling violating solutions in a generalised Einstein-Maxwell-Dilaton theory with an arbitrary number of scalars and vectors. We obtain analytic solutions in some special case and discuss the physical constraints on the allowed parameter range in order to have a well-defined holographic ground-state solution.
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