Yet, aromatic compound have elctron density due to double bond character.if aromatic compound undergo electrophilic addition reaction on being attacked by electrophilic then also product form but the product thus formed will loose its aromaticity.thus to save its stability aromatic compound say no to electrophilic addition reaction.instead of that aromatic compunds do give electrophilic substitution reaction by that its aromaticity remains in product thus this reaction is fealisible.

Aromatic compounds do not show electrophilic addition reactions despite having electron density due to the following reasons:

1. Stability of the aromatic ring:
Aromatic compounds are characterized by a highly stable and conjugated ring system. The delocalization of π electrons over the entire ring creates a stabilized system. The stability of the aromatic ring arises from the presence of a continuous cycle of overlapping p orbitals, which results in electron delocalization and a lower energy state. This stability prevents the breaking of the aromatic ring and hinders electrophilic addition reactions.

2. Aromaticity and Huckel's rule:
Aromatic compounds follow Huckel's rule, which states that for a compound to be aromatic, it must have a fully conjugated planar ring with (4n + 2) π electrons, where n is an integer. This rule ensures that aromatic compounds possess a unique stability and resistance to reactions that would disrupt the aromaticity. Electrophilic addition reactions would disrupt the conjugation and aromaticity of the ring, leading to a loss of stability.

3. Lack of suitable reaction conditions:
Electrophilic addition reactions typically require harsh reaction conditions such as high temperature or strong acids to activate the electrophile and facilitate the addition. However, these conditions can also lead to the destruction of the aromatic ring due to its sensitivity. The harsh conditions required for the electrophilic addition reactions are not compatible with the stability of aromatic compounds.

4. Electronic nature of the ring:
The high electron density in the aromatic ring is primarily due to the delocalized π electrons. While this electron density makes the ring susceptible to electrophilic attacks, the aromatic ring also possesses a unique electronic nature. The π electrons are tightly held within the conjugated system and are not readily available for reaction with electrophiles. The electron density in aromatic compounds is primarily responsible for their nucleophilic behavior rather than electrophilic addition reactions.

In conclusion, the stability of the aromatic ring, adherence to Huckel's rule, lack of suitable reaction conditions, and the electronic nature of the ring contribute to the inability of aromatic compounds to undergo electrophilic addition reactions. The unique properties and stability of aromatic compounds make them important building blocks in organic chemistry and contribute to their wide range of applications.